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Question
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (see the given figure), and these are equally likely outcomes. What is the probability that it will point at
- 8?
- an odd number?
- a number greater than 2?
- a number less than 9?
Solution
(1) Total number of possible outcomes = 8
The number of favourable outcome = 1
Probability of getting 8 = `"Number of favourable outcomes"/"total number of outcomes"`
= `1/8`
(2) Total number of odd numbers on spinner = 4
Probability of getting an Odd Number = `"Number of favourable outcomes"/"total number of outcomes"`
= `4/8 `
= `1/2`
(3) The numbers greater than 2 are 3, 4, 5, 6, 7, and 8.
Therefore, total numbers greater than 2 = 6
Probability of getting a Number greater than 2 = `"Number of favourable outcomes"/"total number of outcomes"`
= `6/8`
= `3/4`
(4) The numbers less than 9 are 1, 2, 3, 4, 6, 7, and 8.
Therefore, total numbers less than 9 = 8
Probability of getting a number less than 9
= `8/8`
= 1
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