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Question
A die has 6 faces marked by the given number as shown below:
| 1 | 2 | 3 | –1 | –2 | –3 |
The die is thrown once. What is the probability of getting the smallest integer?
Sum
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Solution
Given: The die’s faces are {1, 2, 3, –1, –2, –3} and it is tossed once.
Step-wise calculation:
1. The smallest integer on the faces is –3.
2. Total number of equally likely outcomes = 6.
3. Number of favourable outcomes getting –3 = 1.
4. Probability = `"Favourable"/"Total"`
= `1/6`
The probability of getting the smallest integer is `1/6` (≈ 0.1667).
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Chapter 22: Probability - Exercise 22A [Page 506]
