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Question
A die has 6 faces marked by the given numbers, as shown below.
The die is thrown once. What is the probability of getting
1) a positive integer
2) an integer greater than −3.
3) the smallest integer.
Solution
Given that the die has 6 faces marked by the given numbers as below:
Total number of outcomes = 6
1) For getting a positive integer, the favourable outcomes are 1, 2, 3
⇒ Number of favourable outcomes = 3
⇒ Required probability = `3/6 = 1/2`
2) For getting an integer greater than −3, the favourable outcomes are −2, −1, 1, 2, 3
⇒ Number of favourable outcomes = 5
⇒ Required probability = `5/6`
3) For getting the smallest integer, the favourable outcome is −3
⇒Number of favourable outcomes = 1
⇒ Required probability = `1/6`
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