Question

the probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5 .find the probability that at least one of A and B are solve the problem. plz me answer of this fast.

Answer 1

The answer is in the image. Please comment if unclear.

Answer 2

Answer:

$\bf\textbf{P(At least one of them is able to solve) = }\frac{13}{15}$

Step-by-step explanation:

$P(A)=\frac{2}{3}\\\\\implies P(A')=1-P(A)\\\\\implies P(A')=1-\frac{2}{3}=\frac{1}{3}\\\\P(B) = \frac{3}{5}\\\\\implies P(B')=1-P(B)\\\\\implies P(B')=1-\frac{3}{5}=\frac{2}{5}$

We need to find the probability that one of them is able to solve.

⇒ P(One of them is able to solve) = 1 - P( Both of them are unable to solve)

$\implies\text{P(At least one of them is able to solve) = }1-(\frac{1}{3}\times\frac{2}{5})\\\\ \implies\text{P(At least one of them is able to solve) = }1-\frac{2}{15}\\\\ \implies\bf\textbf{P(At least one of them is able to solve) = }\frac{13}{15}$