MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

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.

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.