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# GRE Math Challenge #67-The probabilities that each of two

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GRE Math Challenge #67-The probabilities that each of two [#permalink]  03 May 2015, 01:22
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Question Stats:

88% (00:28) correct 11% (00:00) wrong based on 17 sessions
The probabilities that each of two independent experiments will have a successful outcome are $$\frac{8}{15}$$ and $$\frac{2}{3}$$, respectively. What is the probability that both experiments will have successful outcomes?

A. $$\frac{4}{5}$$

B. $$\frac{6}{5}$$

C. $$\frac{2}{15}$$

D. $$\frac{16}{45}$$

E. $$\frac{64}{225}$$
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #67-The probabilities that each of two [#permalink]  12 Dec 2017, 11:06
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sandy wrote:
The probabilities that each of two independent experiments will have a successful outcome are $$\frac{8}{15}$$ and $$\frac{2}{3}$$, respectively. What is the probability that both experiments will have successful outcomes?

A. $$\frac{4}{5}$$

B. $$\frac{6}{5}$$

C. $$\frac{2}{15}$$

D. $$\frac{16}{45}$$

E. $$\frac{64}{225}$$

We know

when A and B are two independent experiments then,

Probability of (A) and Probability of (B) = Probability of (A) * Probability of (B)

Here Probability of (A) =$$\frac{8}{15}$$

Probability of (B) = $$\frac{2}{3}$$

Therefore the probability that both experiments will have successful outcomes = $$\frac{8}{15} * \frac{2}{3}$$ = $$\frac{16}{45}$$
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Re: GRE Math Challenge #67-The probabilities that each of two [#permalink]  21 Feb 2018, 11:15
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if this is a hard question, than what is easy? like what's the formula of probability? :D
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Re: GRE Math Challenge #67-The probabilities that each of two   [#permalink] 21 Feb 2018, 11:15
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# GRE Math Challenge #67-The probabilities that each of two

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