Spinner i is divided into four equal sections labeled 2, 3, 4 and 5. spinner ii is divided into five equal sections labeled 1, 3, 5, 7 and 9. if each spinner is spun and the resulting numbers are multiplied, what is the probability that the product is a two-digit even number? express your answer as a common fraction.

Question

Mathematics

Eli Jenkins

29 March, 06:21

Spinner i is divided into four equal sections labeled 2, 3, 4 and 5. spinner ii is divided into five equal sections labeled 1, 3, 5, 7 and 9. if each spinner is spun and the resulting numbers are multiplied, what is the probability that the product is a two-digit even number? express your answer as a common fraction.

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Answers (1)

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Hayden Pearson · Answer 1

The probability is 7/20.

There are 20 outcomes in the sample space:

2 (1) 2 (3) 2 (5) 2 (7) 2 (9)

3 (1) 3 (3) 3 (5) 3 (7) 3 (9)

4 (1) 4 (3) 4 (5) 4 (7) 4 (9)

5 (1) 5 (3) 5 (5) 5 (7) 5 (9)

Out of these, 14 are two digit products. Out of those 14, only 7 are odd. Thus the probability is 7/20.