The probability of two students A and B solving a problem are 1/2 and

1.	The probability of two students A and B solving a problem are 1/2 and 3/4 respectively. If both of them independently try, what is the probability that the problem gets solved.
Answer» Let the probability of student A and B be solving a problem be P (A) = 1/2 and P (B) 3/4 Probability that the problem is solved is :- Probability that at least one will solve is P(A ∪ B) = P (A) + P (B) – P(A ∩ B) = P(A) + P(B) – P(A) P(B) = 1/2 + 3/4 - 1/2 x 3/4 P(A ∪ B) = 0.5 + 0.75 – 0.375 = 0.875.

The probability of two students A and B solving a problem are 1/2 and 3/4 respectively. If both of them independently try, what is the probability that the problem gets solved.

Answer»

Let the probability of student A and B be solving a problem be P (A) = 1/2 and P (B) 3/4 Probability that the problem is solved is :- Probability that at least one will solve is

P(A ∪ B) = P (A) + P (B) – P(A ∩ B)

= P(A) + P(B) – P(A) P(B)

= 1/2 + 3/4 - 1/2 x 3/4

P(A ∪ B) = 0.5 + 0.75 – 0.375

= 0.875.

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The probability of two students A and B solving a problem are 1/2 and 3/4 respectively. If both of them independently try, what is the probability that the problem gets solved.

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