Q1. An integer is chosen at random from the first 50 positive integers. A is the event 'divisible by 2', B the event 'divisible by the 3', C the event 'divisible by 5'. Find the probability of these events.(a) AB (b) AC (c) BC (d) ABC (e) A U B (f) A U C (g) B U C (h) A U B U C.

(a) Divisible by 2 & 3 both(i.e. 6,12,18,24,30,36,42,48) 

P =  8/50 =  0.16

(b) (c) (d) in similar way these can also be done

(e) Divisble by 2 or 3.(i.e. There will be two a.p. 2,4,6,8,10....50 and 3,6,9,12.........)

Find no. of terms in both.

Then add them and divide by 50. This will be the probability.

(f)(g)(h) can also be done similarly.

Approved