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 = $\frac{8}{15} * \frac{2}{3}$ = $\frac{16}{45}$