JEE Questions for Maths Probability Quiz 7

Three fair coins are tossed. If both heads and tails appears, then the probability that exactly one head appears, is

0%
0%
2)
0%
0%

A bag contains 4 white, 5 black and 6 red balls. If a ball is drawn at random, then what is the probability that the drawn ball is either white or red

0%
0%
2)
0%
0%

A card is drawn from a pack of cards. What is the probability that the drawn card is neither a heart not a king

0%
0%
2)
0%
0%

A cricket team plays m number of matches in winter and wins x matches. Further, its plats n number of matches in summer and wins y matches. Its winning probability in both the seasons is

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

Three dice are thrown simultaneously. What is the probability of containing a total of 17 or 18

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

A box contains 10 good articles and 6 with defects. One article is chosen at random. What is the probability that its is either good or has a defect

0%
0%
2)
0%
0%

The probability of happening of an impossible event i.e., P(φ) is

0%
1
0%
0
0%
2
0%
–1

A coin is tossed until a head appears or until the coin has been tossed five times. If a head does not occur on the first two tosses, then the probability that the coin will tossed 5 times is

0%
0%
2)
0%
0%

Two dice are tossed. The probability that the total score is a prime number is

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

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

Two dice are thrown. The probability that the sum of the points on two dice will be 7 is

0%
0%
2)
0%
0%

The probability that an event will fail to happen is 0.05. The probability that the event will take place on 4 consecutive occasions is

0%
0.00000625
0%
0.18543125
0%
0.00001875
0%
0.81450625

The chance of throwing at least 9 in a single throw with two dice is

0%
0%
2)
0%
0%

Five horses are in a race. Mr. A selected two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

0%
0%
2)
0%
0%

Three identical dice are rolled. The probability that same number will appear on each of them will be

0%
0%
2)
0%
0%

For the two events A and B, P(A) = 0.38, P(B) = 0.41, then the value of P(A not) is

0%
0.41
0%
0.62
0%
0.59
0%
0.21

The probability that A speaks truth is 4/5, while this probability for B is ¾. The probability that they contradict each other when asked to speak on a fact

0%
0%
2)
0%
0%

The probability of getting head and tail alternatively in three throws of a coin (or throw of three coins), is

0%
0%
2)
0%
0%

A couple has three children. The probability of having 2 sons and a daughter, if the eldest child is a son is

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

0%
0%
2)
0%
0%

A number is chosen at random from first ten mutual numbers. The probability that number is odd and perfect square is

0%
0%
2)
0%
0%

The probability that a marksman will hit a target is given as 1/5. Then his probability of at least one hit in 10 shoots is

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

A beg contains 3 red and 5 black balls and a second bag contains 6 red and 4 black balls. A ball is drawn from each bag. The probability that one is red and other is black is

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

A card is drawn randomly from a pack of playing cards. Then the probability that it is neither ace nor king is

0%
0%
2)
0%
0%

There are 4 envelopes with addresses and 4 concerning letters. The probability that letter does not go into concerning proper envelope, is

0%
0%
2)
0%
0%

A and B are two independent events such that P(A) = ½ and P(B) = 1/3. Then P (neither A nor B) is equal to

0%
0%
2)
0%
0%

If the probabilities of boy and girl to be born are same, then in a 4 children family the probability of being at least one girl is

0%
0%
2)
0%
0%

A box containing 4 white pens and 2 black pens. Another box containing 3 white pens and 5 black pens. If one pen is selected from each box, then the probability that both the pens are white is equal to

0%
0%
2)
0%
0%

The event A is independent of itself if and only if P(A) =

0%
0
0%
1
0%
0, 1
0%
None of these

A locker can be opened by dialing a fixed three digit code (between 000 and 999). A stranger who does not know the code tries to open the locker by dialing three digits at random. The probability that the stranger succeeds at the kth trail is

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

In a throw of three dice, probability that a least one die shows up 1 is

0%
0%
2)
0%
0%

A card is drawn at random from a well shuffled pack of 52 cards. The probability of getting a two of heart or two of diamonds is

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

A man and his wife appear for an interview for two posts. The probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. What is that probability that only one of them will be selected

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

A bag contains 5 white, 7 red and 8 black balls. If four balls are drawn one by one without replacement, what is the probability that all are white

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

0%
0%
2)
0%
0%

In a single throw of two dice, the probability of obtaining a total of 7 or 9 is

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

A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show even number is

0%
0%
2)
0%
0%

In a throw of a dice the probability of getting one in even number of throw is

0%
0%
2)
0%
0%

A determinant is chosen at random. The set of all determinants of order 2 with elements 0 or 1 only. The probability that value of the determinant chosen is positive is

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

One card is drawn from a pack of 52 cards. The probability that it is a king or diamond is

0%
0%
2)
0%
0%

A bag contains 3 white, 3 black and 2 red balls. One by one three balls are drawn without replacing them. The probability that the third ball is red is

0%
0%
2)
0%
0%

A bag x contains 3 white balls and 2 black balls and another bag y contains 2 white balls and 4 black balls. A bag and a ball out of it are picked at random. The probability that the ball is white is

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

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

0%
0%
2)
0%
0%

The probability of India winning a test match against West Indies is ½. Assuming independence from match to match, the probability that in a 3 match series India’s second win occurs at the third test, is