Probability 2024 - 2016

A bag contains 3 red balls, 5 white balls, and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is: (2024)

• '1/3
• '1/5
• '2/5
• '3/5

The probability of getting a bad egg in a lot of 400 eggs is 0.045. The number of good eggs in the lot is: (2024)

• 380
• 382
• 385
• 390

Two dice are thrown together. The probability that they show different numbers is: (2024)

• '1/6
• '5/6
• '1/3
• '2/3

Assertion (A): In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does not hit the boundary is 4/5. Reason (R): P(E) + P(not E) = 1. (2024)

• Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
• Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
• Assertion (A) is true, but reason (R) is false.
• Assertion (A) is false, but reason (R) is true.

In a group of 20 people, 5 can't swim. If one person is selected at random, then the probability that he/she can swim is: (2023)

• '3/4
• '1/4
• '1/2
• '2/3

The probability of the occurrence of an event is denoted by p, and the probability of the non-occurrence of the event is denoted by q. The relation between p and q is: (2023)

• p + q = 1
• p - q = 1
• p/q = 1
• pq = 1

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought? (2023)

• 400
• 480
• 500
• 600

Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals 3 is: (2023)

• '1/12
• '1/9
• '1/6
• '1/4

A card is drawn at random from a well-shuffled pack of 52 cards. The probability that the card drawn is not an ace is: (2023)

• '1/13
• '12/13
• '4/13
• '9/13

Assertion (A): The probability that a leap year has 53 Sundays is 2/7. Reason (R): The probability that a non-leap year has 53 Sundays is 5/7. (2023)

• Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
• Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
• Assertion (A) is true, but reason (R) is false.
• Assertion (A) is false, but reason (R) is true.