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Q1
Which of the following statements is/are true?
Multiple correct
Q2
Assuming , find the value of . Enter the answer correct to two decimal places.
Comprehension
Q3
A survey of students shows that like reading and like painting. If each student likes at least one of the two activities, how many students like painting but not reading?
Single correct
Q4
What is the probability that exactly gold and silver coin are drawn in the first draw?
Comprehension
Q5
Consider the following events: (A) drawing a red card from a standard deck of cards; (B) rolling a sum of with two independent rolls of an unbiased die. Which of these events has the maximum probability?
Single correct
Q6
Which of the following option(s) is/are correct?
Multiple correct
Q7
If , and , then what is the value of ? Enter the answer correct to one decimal place.
Integer answer
Q8
There are dark chocolates and milk chocolates in a fridge. A person selects chocolates from the fridge at random. Find the probability that among the chocolates drawn there is at least one chocolate of each type. Enter the answer correct to two decimal places.
Integer answer
Q9
Two dice are rolled once. What is the probability of getting an odd number at the first die or a total of ?
Single correct
Q10
What is the value of ?
Comprehension
Q11
What is the value of ?
Comprehension
Q12
What is the value of ?
Comprehension
Q13
Find the value of . Enter the answer correct up to one decimal place.
Comprehension
Q14
Pramod goes to a shop to buy some clothes. The shopkeeper shows him shirts, pants and t-shirts. If he selects three clothes at random, then find the probability that the randomly chosen clothes are of different type. Enter the answer correct to two decimal places.
Integer answer
Q15
, and are three mutually exclusive and exhaustive events associated with a random experiment. If , and , then find the value of . Enter the answer correct to two decimal places.
Integer answer
Q16
Let a sample space . Consider the following three events: , and . Which of the following option(s) is/are correct?
Multiple correct
Q17
Find the probability that at least one child is a boy.
Comprehension
Q18
Kanika has to choose a t-shirt for her outfit from a collection of yellow t-shirts, black t-shirts and blue t-shirts. If a t-shirt is chosen randomly, then what is the chance that a black or a blue t-shirt is chosen by Kanika for her outfit? Enter the answer correct to one decimal place.
Integer answer
Q19
A locker can be opened by a -digit number between to . A thief wants to steal the locker. During the background check about the locker, he found that all the digits of the pass code are unique and one of the digits is . What is the probability that the thief will open the locker?
Single correct
Q20
In a building with five floors, excluding the ground floor, an elevator starts with four people at the ground floor. Each person is equally likely to leave the lift on any floor except the ground floor. What is the probability that two get off at one floor and two get off at another?
Single correct
Q21
Two dice are rolled once. What is the probability of getting an odd number on the first die or a total of 7?
Single correct
Q22
Tickets numbered from 1 to 100 are mixed up, and then a ticket is drawn at random. What is the probability that the ticket drawn has a number multiple of 3 or 5 or 7? Enter the answer correct to 2 decimal accuracy.
Integer answer
Q23
Two dice are rolled together. If is the event that the outcome on the second die is greater than the outcome on the first die and is the event that outcomes on both the dice are odd, then find the value of .
Single correct
Showing 23 questions.