Probability that Hameed passes in Mathematics is  and the probability that he passes in English is  If the probability of passing both courses is  what is the probability that Hameed will pass in at least one of these subjects?

Explanation

Let A be the event that Hameed passes in Mathematics and B be the event that he passes in English.

We have, `P(A)=2/3​,P(B)=4/9​ `and `P(A∩B)=1/4​`


Therefore, required probability
`= P(A∪B)=P(A)+P(B)−P(A∩B)`

`=2/3​+4/9​−1/4​=(31)/(36)​`