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Permutations, combinations and probability
6 ECAT Mathematics questions with answers and explanations.
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What is the value of 5 factorial?
- 1 25
- 2 60
- 3 120
- 4 720
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What is the value of 6P2?
- 1 15
- 2 30
- 3 12
- 4 36
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Two fair dice are rolled. What is the probability that the sum is 7?
- 1 1/6
- 2 1/12
- 3 7/36
- 4 1/9
Show answer
Correct answer: 1/6
Six of the 36 equally likely outcomes give a sum of 7, so the probability is 6/36 = 1/6.
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A fair coin is tossed twice. What is the probability of getting at least one head?
- 1 1/2
- 2 3/4
- 3 1/4
- 4 2/3
Show answer
Correct answer: 3/4
The only outcome with no head is TT, so the probability is 1 - 1/4 = 3/4.
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In how many ways can a committee of 3 be chosen from 6 people?
- 1 18
- 2 120
- 3 20
- 4 60
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What is the probability of drawing an ace from a well-shuffled pack of 52 cards?
- 1 1/4
- 2 1/13
- 3 1/26
- 4 4/13
Show answer
Correct answer: 1/13
There are 4 aces in 52 cards, so the probability is 4/52 = 1/13.