A prize of 2000 tk is given to anyone who solves a hacker puzzle independently. The probability that Rafi will win the prize is 0.6, and the probability that kamol will win the prize is 0.7. What is the probability that both will win the prize?

Question: A prize of 2000 tk is given to anyone who solves a hacker puzzle independently. The probability that Rafi will win the prize is 0.6, and the probability that kamol will win the prize is 0.7. What is the probability that both will win the prize?

Solution:
probability that Rafi will win the prize is, P(A) = 0.6
probability that kamol will win the prize is, P(B) = 0.7
As events are independent,
P (A ∩ B) = P(A) × P (B)
= 0.6 × 0.7
= 0.42