MEDIUM
JEE Advanced
IMPORTANT
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When a missile is fired from a ship, the probability that it is intercepted is . The probability that the missile hits the target, given that it is not intercepted, is . If three missiles are fired independently from the ship, then the probability that all three hits their targets, is
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Important Questions on Advanced Probability
HARD
JEE Advanced
IMPORTANT
There are two bags, one of which contains black and white balls, while the other contains black and white balls. A die is cast. If the face or turns up, a ball is taken from the first bag and if any other face turn up, a ball is chosen from the second bag. The probability of choosing a black ball is
HARD
JEE Advanced
IMPORTANT
Let denote the sum of the numbers obtained when two fair dice are rolled. Then, the variance and standard deviations of are
HARD
JEE Advanced
IMPORTANT
A coin is tossed times. The probability that he wins the toss on more occasions, is
MEDIUM
JEE Advanced
IMPORTANT
From a box containing tickets of value to , four tickets are drawn one by one. After each draw, the ticket is replaced. The probability that the largest value of tickets drawn is , is
MEDIUM
JEE Advanced
IMPORTANT
Suppose has a Binomial distribution . Then which of the outcome is most likely?
MEDIUM
JEE Advanced
IMPORTANT
A discrete random variable has the following probability distribution
The value of and the mean of the distribution are
MEDIUM
JEE Advanced
IMPORTANT
The probability of guessing correctly atleast out of answers on a true-false examination is
HARD
JEE Advanced
IMPORTANT
Ravish and Vineet decided to meet on New Year's day evening at a place in Cannaughi Place between and . The first one to arrive waits for and then leave. Assuming that each is independently equally likely to arrive at any time during the hour (between and ), then the probability that they meet is
