Revision Quiz | Probability for JEE & BITSAT Exams

Question 1

In a lottery a person s chooses 6 different numbers from 1 to 20 and if these numbers matches exactly with the six numbers of the lottery, and if these matches irrespective of order, he gets a prize. What is the probability of winning a prize?

Question 2

A number x is selected within 1-160. Find the probability that x satisfies the condition

Question 3

If the integers m and n are chosen at radom from 1 to 100, then the probability that a number of the form 7ⁿ +7^m is divisible by 5, equals to

Question 4

Past experience shows that 80% of operations performed by a doctor are successful. If he performs 4 operations in a day, What is the probability that atleast three operation will be successful?

Question 5

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is

Question 6

The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 successes is

Question 7

A pack of cards is counted with face downwards. It is found that one card is missing. One card is drawn and is found to be red. Find the probability that the missing card is red.

Question 8

A coin with probability p, 0 < p < 1, of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even is 2/5, then p is?

Question 9

The probability of atleast one double six being thrown in n throws with two ordinary dice is greater than 99%
Then, the least numerical value of n is

Question 10

A dice is thrown 2n + 1 times, n ∈ N. The probability that faces with even numbers show odd number of times is -

Question 11

A man takes a step forward with probability 0.4 and one step backward with probability 0.6, then the probability 0.6, then the probability that the end of eleven steps he is one step away from the starting point, is

Question 12

The letters of the word EQUATION are arranged in a row. Find the probability that all vowels are together.

Question 13

A number x is selected from first 100 natural numbers. Find the probability that x satisfies the condition x + 100/x > 50.

Question 14

A dice is rolled three times. The probability of getting a larger number than the previous number each time is -

Question 15

If the probability that a student is not a swimmer is 1/5, then the probability that out of 5 students one is swimmer is