Independent but not equally likely

Mutually exclusive and independent

Equally likely and mutually exclusive

Equally likely but not independent

JEE Questions for Maths Probability Quiz 10

If four vertices of a regular octagon are chosen at random, then the probability that the quadrilateral formed by them is a rectangle is

0%
0%
2)
0%
0%

The students are seated at random in a row. The probability that two particular students are not seated side by side is

0%
0%
2)
0%
0%

If a committee of 3 to be chosen from a group of 38 people of which you are a member. What is the probability that you will be o the committee

0%
0%
2)
0%
0%

Four boys and three girls stand in a queue for an interview, probability that they will in alternate position is

0%
0%
2)
0%
0%

In a lottery were 90 tickets numbered 1 to 90. Five tickets were drawn at random. The probability that two of the tickets drawn numbers 15 and 89 is

0%
0%
2)
0%
0%

Among 15 players, 8 are batsmen and 7 are bowlers. Fine the probability that a team is chosen of 6 batsmen and 5 bowlers

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

A bag contains 5 black, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is a black or red ball is

0%
0%
2)
0%
0%

Out of 30 consecutive numbers, 2 are chosen at random. The probability that their sum is odd is

0%
0%
2)
0%
0%

Three integers are chosen at random from the first 20 integers. The probability that their product is even is

0%
0%
2)
0%
0%

Two numbers are selected randomly from the set S = {1, 2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is

0%
0%
2)
0%
0%

From eighty cards numbered 1 to 80, two cards are selected randomly. The probability that both the cards have the numbers divisible by 4 is given by

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

A bag contains 8 red and 7 black balls. Two balls are drawn at random. The probability that both the balls are of the same colour is

0%
0%
2)
0%
0%

A box contains 10 red balls and 15 green balls. If two balls are drawn in succession then the probability that one is red and other is green is

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

Three cards are drawn at random from a pack of 52 cards. What is the chance of drawing three aces

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

A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Two cards are drawn at random. The probability that at least one of these is an ace is

0%
0%
2)
0%
0%

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is

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

5 persons A, B, C, D and E are in queue of a shop. The probability that A and E always together is

0%
0%
2)
0%
0%

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

0%
0%
2)
0%
0%

An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colors is

0%
0%
2)
0%
0%

7 persons to be seated in a row. Probability that 2 particular persons to sit next to each other is

0%
0%
2)
0%
0%

Three numbers are chosen at random without replacement from {1, 2, 3, …8}. The probability that their minimum is 3, given that their maximum is 6 is

0%
0%
2)
0%
0%

If the odds against an event be 2:3, then the probability of its occurrence is

0%
0%
2)
0%
0%
1

If the odds in favour of an event be 3:5, then the probability of non-occurrence of the event is

0%
0%
2)
0%
0%

A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet

0%
17:52
0%
52:17
0%
9:4
0%
4:9

An event has odds in favour 4:5, then the probability that event occurs is

0%
0%
2)
0%
0%

For an event, odds against is 6:5. The probability that event does not occur is

0%
0%
2)
0%
0%

In a horse race the odds in fovour of three horses are 1:2, 1:3 and 1:4. The probability that one of the horse will win the race is

0%
0%
2)
0%
0%

The odds against a certain event is 5:2 and the odds in favour of another event is 6:5. If both the events are independent, then the probability that at least one of the events will happen is

0%
0%
2)
0%
0%

If odds against solving a question by three students are 2:1, 5:2 and 5:3 respectively, then probability that the question is solved only by one student is

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

Three ships A, B and C sail from England to India. If the ratio of their arriving safely are 2:5, 3:7 and 6:11 respectively then the probability of all the ships for arriving safely is

0%
0%
2)
0%
0%

A party of 23 persons take their seats at a round table. The odds against two persons sitting together are

0%
10:1
0%
1:11
0%
9:10
0%
None of these

0%
0.5
0%
0.8
0%
1
0%
0.1

The probabilities of three mutually exclusive events are 2/3, 1/4 and 1/6. The statements is

0%
True
0%
Wrong
0%
Could be either
0%
Do not know

If A and B are two events such that P(A) = 0.4, P(A + B) = 0.7 and P(AB) = 0.2, then P(B) =

0%
0.1
0%
0.3
0%
0.5
0%
None of these

Suppose that A, B, C are events such that P(A) = P(B) = P(C) = 1/4, P(AB) = 0, P(AC) = 1/8, then P(A + B) =

0%
0.125
0%
0.25
0%
0.375
0%
0.5

Out of 15 persons 10 can speak Hindi and 8 can speak English. If two persons are chosen at random, then the probability that one person speak Hindi only and the other speaks both Hindi and English is

0%
0%
2)
0%
0%
0%

If the probability of X to fail in the examination is 0.3 and that for Y is 0.2, then the probability that either X or Y fail in the examination is

0%
0.5
0%
0.44
0%
0.6
0%
None of these

Probability that a student will succeed in IIT entrance test is 0.2 and that he will succeed in Roorkee entrance test is 0.5. If the probability that he will be successful at both the places is 0.3, then the probability that he does not succeed at both places is