Subject Test Math 2

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Subject Test Math 2

Question 20 of 28

A game has two spinners. For the first spinner, the probability of landing on blue is $\frac{4}{5}$ . Independently, for the second spinner, the probability of landing on blue is $\frac{1}{7}$ What is the probability that the first spinner lands on blue and the second spinner does not land on blue?

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$1 over 35$

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

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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 $\frac{1}{7}$ the probability that the second spinner does not land on blue is $1 - \frac{1}{7} = \frac{6}{7}$ 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

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Subject Test Math 2

Question 20 of 28

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View Correct Answer