Probability questions
692 published questions with worked solutions.
- Let A and B be two independent events such that P(A)= 15, P(A B)= 7 10 . Then P( B) is equal to
- Let A and B be two independent events such that their probabilities are 3 10 and 25. The probability of exactly one of the events...
- The probability that at least one of the events A and B occurs is 35. If A and B occur simultaneously with probability 15 then...
- A, B, C are three events for which P(A)=0.6, P(B)=0.4, P(C)=0.5, P(A B)=0.8, P(A C)=0.3 and P(A B C)=0.2. If P(A B C) 0.85 then...
- A coin is tossed 2n times. The chance that the number of times one gets head is not equal to the number of times one gets tail is
- A coin is tossed n times. The probability of getting at least one head is greater than that of getting at least two tails by 5 32...
- A coin is tossed 7 times. Each time a man calls head. The probability that he wins the toss on more occasions is
- A bag contains 14 balls of two colours, the number of balls of each colour being the same. 7 balls are drawn at random one by...
- From a box containing 20 tickets of value 1 to 20, four tickets are drawn one by one. After each draw, the ticket is replaced....
- A dice is thrown 2n+1 times, n N. The probability that faces with even numbers show odd number of times is
- An ordinary dice is rolled a certain number of times. The probability of getting an odd number 2 times is equal to the...
- A man firing at a distant target has 10% chance of hitting the target in one shot. The number of times he must fire at the target...
- There are four machines and it is known that exactly two of them are faulty. They are tested one by one in a random order till...
- Let A= 2,3,4, ,20,21 . A number is chosen at random from the set A and it is found to be a prime number. The probability that it...
- All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace...
- A point is selected at random from the interior of a circle. The probability that the point is closer to the centre than the...
- A, B and C are contesting the election for the post of secretary of a club which does not allow ladies to become members. The...
- There are 4 white and 3 black balls in a box. In another box there are 3 white and 4 black balls. An unbiased dice is rolled. If...
- The probabilities that a student passes in mathematics, physics and chemistry are m, p and c respectively. Of these subjects, a...
- If A and B are two events such that P(A B) 34 and 18 P(A B) 38 then
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