Conditional Probability
Trending Questions
Q. Two numbers are selected at random from the integers 1 to 9. If the sum is even, find the probability that both numbers are odd?
- 58
- None of these
- 38
- 13204
Q. A die is thrown twice and the sum of the numbers appearing is observed to be 9. What is the conditional probability that the number 4 has appeared at least once?
- None of these
- 12
- 23
- 34
Q. Three numbers are to be selected at random without replacement from the set of numbers {1, 2, ... n}. The conditional probability that the third number lies between the first two if the first number is known to be smaller than the second is :
- 13
- 56
- 23
- 712
Q. A bag contains 6 red and 9 blue balls. Two successive drawing of four balls are made such that the balls are not replaced before the second draw. Find the probability that the first draw gives 4 red balls and second draw gives 4 blue balls.
- 7715
- None of these
- 3715
- 15233
Q. Urn A contains six red and four black balls and urn B has four red and six black balls. One ball is drawn at random from urn A and placed in urn B. Then one ball is transferred at random from urn B to urn A. If one ball is now drawn at random from urn A, find the probability that is red.
- 2355
- 3265
- 3255
- 5665
Q. A consignment of 15 wristwatches contains 4 defectives. The wristwatches are selected at random, one by one and examined. The ones examined are not put back. What is the probability that ninth one examined is the last defective?
- 17195
- 11195
- 8195
- 16195
Q. Two dices are thrown. The probability that the sum of the numbers coming up on them is 9, if it is known that the number 5 always occurs on the first die, is
- 16
- 13
- 23
- 12
Q.
If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(BA) = 0.6, find P(A ∪ B)
0.24
0.96
0.04
none of these
Q. A and B have less than 6 diamonds each. What is the probability that the sum of the diamonds they have is more than 3 but less than 7?
- 35
- 925
- 49
- 23
Q. In a one day cricket match played between two teams, in an innings a team can lose a maximum of ten wickets. Find the probability that in a given match the two teams will together lose more than 5 but less than 12 wickets?
- 0.415
- 51121
- 511
- 0.585