Question

*10. The probability that a boy A will get a
scholarship is 0.9 and that another boy B will
bet is 0.8. What is the probability that atleast
one of them will bet the scholarship? (May-2003)
Sal. PCA) - Probability of A​

Answer 1

Answer:Let,

A - Boy gets a scholarship

B - Girl gets a scholarship

so, P(A) = 0.4 & P(B) = 0.5

Prob that alteast one of them gets a scholarship = P (A Union B)

And as we know,

Prob (A Union B) = P(A) + P(B) - P (A intersection B)

Since, boy getting a scholarship and Girl getting a scholarship are independent events we have,

Prob (A Union B) = P(A) + P(B) - [P(A)*P(B)]

Prob (A Union B) = 0.4 + 0.5 - (0.2)

Prob (A Union B) = 0.7

cheers!

Step-by-step explanation: