CA Foundation · Quantitative Aptitude · Probability
A single fair die is thrown once. Which of the following pairs of events is mutually exclusive?
Getting a number less than 3 and getting a number greater than 4 are mutually exclusive. The first event is {1,2} and the second is {5,6}, so they have no common outcome and cannot occur together on a single throw of a die.
- AGetting an even number and getting a number greater than 4
- BGetting an odd number and getting a prime number
- CGetting a number less than 3 and getting a number greater than 4Correct
- DGetting a multiple of 3 and getting an even number
Explanation
Check the overlap of outcomes. Even {2,4,6} and >4 {5,6} share 6. Odd {1,3,5} and prime {2,3,5} share 3 and 5. Less than 3 {1,2} and greater than 4 {5,6} share nothing, so they are mutually exclusive. Multiple of 3 {3,6} and even {2,4,6} share 6.
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