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Subject Test Math 2

Question 20 of 28

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SAT Subject Test

A game has two spinners. For the first spinner, the probability of landing on blue is fraction numerator 4 over denominator 5 end fraction. Independently, for the second spinner, the probability of landing on blue is fraction numerator 1 over denominator 7 end fraction What is the probability that the first spinner lands on blue and the second spinner does not land on blue?

Select an Answer

1 over 35

Correct Answer: 
No

4 over 35

Correct Answer: 
No

6 over 35

Correct Answer: 
No

11 over 35

Correct Answer: 
No

24 over 35

Correct Answer: 
Yes

Since the two events are independent, the probability that the first spinner lands on blue and the second spinner does not land on blue is the product of the two probabilities. The first probability is given. Since the probability that the second spinner lands on blue is fraction numerator 1 over denominator 7 end fraction the probability that the second spinner does not land on blue is 1 minus fraction numerator 1 over denominator 7 end fraction invisible times equals fraction numerator 6 over denominator 7 end fraction Therefore, P invisible times equals open parentheses 4 over 5 close parentheses open parentheses 6 over 7 close parentheses invisible times equals 24 over 35. The correct answer is (E).

Question Difficulty: 
hard