CA Foundation · Quantitative Aptitude · Probability
Which of the following pairs of events, when a single fair die is rolled once, are mutually exclusive?
The events 'number less than 3' and 'number greater than 4' are mutually exclusive because their outcome sets {1,2} and {5,6} have nothing in common, so both cannot occur on a single roll. Each other pair shares at least one outcome.
- AGetting an even number and getting a number greater than 3
- BGetting a prime number and getting an even number
- CGetting an odd number and getting a number divisible by 3
- DGetting a number less than 3 and getting a number greater than 4Correct
Explanation
Mutually exclusive events cannot occur together. Less than 3 gives {1,2} and greater than 4 gives {5,6}, with no common outcome. Even and greater than 3 share 4 and 6; prime and even share 2; odd and divisible by 3 share 3.
Did you get it right without looking?
One question tells you little. A timed set on Probability shows your real accuracy, how long you take and where you lose marks.
More Probability questions
- A game costs ₹50 to play. Two fair coins are tossed and the player receives ₹40 for each head that appears. What is the expected net gain of…
- Two fair dice are thrown. What is the probability that the product of the two numbers shown is a perfect square?
- Five cards are drawn at random from a well-shuffled pack of 52 cards. What is the probability that exactly 2 are aces and the other 3 are ki…
- A, B and C independently try to solve a problem with probabilities 1/2, 1/3 and 1/4 respectively. What is the probability that exactly two o…
- A single fair die is thrown once. Which of the following pairs of events is mutually exclusive?
- A bank in Chennai finds that 20% of its loan customers are defaulters. Past records show that 80% of defaulters had a poor credit score, whi…