Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

Statement I is true, statement 2 is true; statement 2 is a correct explanation for statement I

Statement 1 is true, statement 2 is false

Statement 1 is false, statement 2 is true

JEE Questions for Maths Probability Quiz 14

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of the above

The probability of happening and event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of happening neither A nor B is

0%
0.6
0%
0.2
0%
0.21
0%
None of these

If A and B are two events, then the probability of the event that at most one of A, B occurs, is

0%
0%
2)
0%
0%
All of the above

For any events A and B in a sample space

0%
0%
2)
0%
0%
None of the above

Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn at random from urn A and placed in urn B. Then one ball is drawn ball is now drawn at random from urn A, the probability that it is found to be red, is

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
All of these

Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32, then p lies in the interval

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. The probability that the ball is white is

0%
0%
2)
0%
0%

Two numbers are selected at random from the numbers 1, 2, …n. The probability that the difference between the first and second is not less than m (where 0 < m < n) is

0%
0%
2)
0%
0%

Three groups A, B, C are competing for positions on the Board of directors of a company. The probabilities of their winning are 0.5, 0.3, 0.2 respectively. If the group A wins, the probability of introducing a new product is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. The probability that the new product will be introduced is

0%
0.18
0%
0.35
0%
0.10
0%
0.63

0%
I only
0%
I and II
0%
I and III
0%
II and III

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. If a coin is drawn out of any purse, then the probability that it is a copper coin is

0%
0%
2)
0%
0%
None of these

An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four values obtained the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is

0%
0%
2)
0%
0%

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting point 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independents, the probability of India getting at least 7 points is

0%
0.8750
0%
0.0875
0%
0.0625
0%
0.0250

0%
0%
2)
0%
0%

A dice is thrown (2n +times. The probability of getting 1, 3, or 4 at most n times is

0%
0%
2)
0%
0%
None of these

A box contains 24 identical balls, of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is

0%
0%
2)
0%
0%

The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the events are

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability of none of them occurring is 2/25. If P(T) denotes the probability of occurrence of the event T, then

0%
a and d
0%
d only
0%
c only
0%
a only

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and x respectively. On these subjects the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true

0%
b and c
0%
b
0%
c
0%
a

0%
a and d
0%
d only
0%
b only
0%
c only

0%
c and d
0%
d only
0%
c only
0%
a only

Let E and F be two independent events. The probability that both E and F happen is 1/12 and the probability that neither E nor F happens is ½. Then

0%
a and d
0%
b only
0%
b and c
0%
c and d

For any two events A and B in a sample space

0%
a and c
0%
c only
0%
d only
0%
a and d

If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then
(a) E and F are mutually exclusive
(b) E and F^c (the complement of the event F) are independent
(c) E^c and F^c are independent

0%
b, c and d
0%
c and b
0%
c and a
0%
All the above

0%
c only
0%
a, b and c
0%
b and c
0%
b only

If M and N are any two events, the probability that exactly one of them occurs is

0%
a, c and d
0%
c and a
0%
c and b
0%
d only

0%
a and b
0%
b only
0%
c and b
0%
d only

0%
b and d
0%
d only
0%
c only
0%
a only

0%
a and b
0%
b only
0%
c only
0%
d only

For numbers are chosen at random (without replacement) from the set {1, 2, 3, …,20}
Statement 1: The probability that the chosen numbers when arranged in some order will form an AP is 1/85
Statement 2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {±1, ±2, ±3, ±4, ±5}

0%
Statement I is true, statement 2 is true; statement 2 is a correct explanation for statement I
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true

Consider the system of equations
ax + by = 0, cx + dy = 0, where a, b, c, d ϵ{0, 1}
Statement 1: The probability that the system of equations has a unique solution is 3/8.
Statement 2: The probability that the system of equations has a unique solution is 1

0%
Statement I is true, statement 2 is true; statement 2 is a correct explanation for statement I
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true

0%
Statement I is true, statement 2 is true; statement 2 is a correct explanation for statement I
0%
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
0%
Statement 1 is true, statement 2 is false
0%
Statement 1 is false, statement 2 is true

Let U₁ and U₂ be two urns such that U₁ contains 3 white and 2 red balls and U₂ contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U₁ and put into U₂. However, if tail appears then 2 balls are drawn at random from U₁ and put into U₂. Now, 1 ball is drawn at random from U₂.
The probability of the drawn ball from U₂ being white is

0%
0%
2)
0%
0%

One hundred identical coins each with probability p of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

0%
0%
2)
0%
0%

Let U₁ and U₂ be two urns such that U₁ contains 3 white and 2 red balls and U₂ contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U₁ and put into U₂. However, if tail appears then 2 balls are drawn at random from U₁ and put into U₂. Now, 1 ball is drawn at random from U₂.
Given that the drawn ball from U₂ is white, the probability that head appeared on the coin is

0%
0%
2)
0%
0%

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
The probability that X = 3 equals

0%
0%
2)
0%
0%

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
The probability that X ≥ 3 equals

0%
0%
2)
0%
0%

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.
The conditional probability that X ≥ 6 given X > 3 equals

0%
0%
2)
0%
0%

There are n urns each containing (n +balls such that the i^th urn contains ‘i’ white balls and (n + 1 – i) red balls. Let u_i be the event of selecting i^th urn, I = 1, 2, 3,…,n and W denotes the event of getting a white balls.

0%
1
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

A box contains 15 tickets numbered 1, 2, …, 15. Seven tickets are drawn at random one after the other with replacement. The probability that the greatest number on a drawn ticket is 9 is

0%
0%
2)
0%
0%
None of these

Two square are chosen at random on a chess-board. The probability that they have a side in common is

0%
1/9
0%
2/7
0%
1/18
0%
None of these

The probability that a certain beginner t golf gets a good shot if he uses the correct club is 1/3 and the probability of a good shot which an incorrect club is ¼. In his bag are 5 different clubs, only one of which is correct for the shot in question. If he chooses a club at random and takes a stroke, then the probability that he gets a good shot is

0%
1/3
0%
1/12
0%
4/15
0%
7/12

0%
1/10
0%
1/15
0%
1/55
0%
10

A man alternately tosses a coins and throws a dice beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is

0%
3/4
0%
1/2
0%
1/3
0%
None of these

JEE Questions for Maths Probability Quiz 14 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Probability Quiz 14 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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