Let and be three independent events with probabilities and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Let

A,\,B

and

C

be three independent events with probabilities

p,\,q

and

r

respectively. Which of the following equals the probability that at least one of the three events occurs? (a)

p+q+r

(b)

p+q+r-pq-qr-rp

(c)

1-(1-p)(1-q)(1-r)

(d)

pq+qr+rp