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A spinning arrow comes to rest at one of the numbers 1 to 8 (equally likely). Find the probability that it will rest at (1) 8 (2) an odd number (3) a number greater than 2 (4) a number less than 9.

In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8. All these are equally likely outcomes. Find the probability that it will rest at

(1) 8.
(2) an odd number.
(3) a number greater than 2.
(4) a number less than 9.

1 answer

Answer: (1) 1/8 (2) 1/2 (3) 3/4 (4) 1

n(S) = 8

(1) \( P = \frac{1}{8} \)

(2) Odd: 1, 3, 5, 7. \( P = \frac{4}{8} = \frac{1}{2} \)

(3) Greater than 2: 3, 4, 5, 6, 7, 8. \( P = \frac{6}{8} = \frac{3}{4} \)

(4) All 8 numbers are less than 9, a certain event: \( P = \frac{8}{8} = 1 \)

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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