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

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sandy
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GRE Math Challenge #67-The probabilities that each of two [#permalink] New post   03 May 2015, 01:22
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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. \(\frac{64}{225}\)
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Re: GRE Math Challenge #67-The probabilities that each of two [#permalink] New post   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] New post   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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