Question

twin city the probability that a power engine from CDA (Capital development Authority) is available when needed is 0.45 and the probability that a power engine from RDA (Rawalpindi development Authority) is available when needed is 0.45. What is the probability that the engines neither from CDA nor from RDA are available when needed?

Answer 1

Solution

let $P(C_a)= 0.45$ be the probability that CDA is available. The probability that CDA is unavailable, $P(C_n) =1-0.45=0.55$

Similarly, let $P(R_a)=0.45$ be the probability that RDA is available. The probability that RDA is unavailable, $P(R_n) =1-0.45=0.55$

the probability that the engines neither from CDA nor from RDA are available when needed:

$$P(C_n)\ and\ P(R_n)$$ $$0.55*0.55= 0.3025$$

answer: the probability that neither is available is 0.3025