Question

a game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1,2,3,….,12 as shown in the figure. What is the probability that it will point to
(i) 6? (ii) an even numbers?
(iii) a prime number? (iv) a number which is a multiple of 5?

Answer 1

Correct Answer - ` (i) 1/12 (ii) 1/2 (iii) 5/12 (iv) 1/6`
Number of all possible outcomes = 12.
(i) P(getting a 6) = ` 1/12`.
(ii)Out of the given numbers there are 6 even numbers.
`: .` P(getting an even number) = ` 6/12 = 1/2`.
(iii) Out of the given numbers, the prime numbers are 2,3,5,7,11.
Their number is 5.
` :. ` P(getting a prime number) ` = 5/12`.
(iv) Out of the given numbers, the multiples of 5 are 5, 10.
Their number is 2.
` :. ` P(getting a multiple of 5) ` = 2/12 = 1/6`.