The Probabilities of solving a problem by three students are 1/2,1/3,1

1.	The Probabilities of solving a problem by three students are 1/2,1/3,1/4. Find the probability that the problem will be solved.
Answer» From the equation, P(E₁) = 1/2, P(E₂) = 1/3, P(E₃) = 1/4 P(bar E₁) = 1/2, P(bar E₂) = 2/3, P(bar E₃) = 3/4 ∴ P (not solving the Problem) = 1/2 x 2/3 x 3/4 = 1/4 P (solving the Problem) = 1 - (1/4) = 3/4

The Probabilities of solving a problem by three students are 1/2,1/3,1/4. Find the probability that the problem will be solved.

Answer»

From the equation,

P(E₁) = 1/2, P(E₂) = 1/3, P(E₃) = 1/4

P(bar E₁) = 1/2, P(bar E₂) = 2/3, P(bar E₃) = 3/4

∴ P (not solving the Problem)

= 1/2 x 2/3 x 3/4 = 1/4

P (solving the Problem)

= 1 - (1/4) = 3/4