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 = \(\frac{8}{15} * \frac{2}{3}\) = \(\frac{16}{45}\)
_________________
If you found this post useful, please let me know by pressing the Kudos ButtonRules for PostingGot 20 Kudos? You can get Free GRE Prep Club TestsGRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months
GRE Prep Club tests