Question

the probability for x and y to pass ina an examination is 0.7 and 0.8.find the probability that at least one of x and y fails

Answer 1

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Answer 2

Answer:

0.44

Step-by-step explanation:

X and Y both passes or fails and either one of them passes or fails.

Outcomes are X and Y pass , X fails and Y passes, Y fails and X passes and Both fail.

You want atleast one fails there for

P(at least one fails) = 1- P(both pass)

= 1-(0.8*0.7).

= 1-0.56 =0.44

Or you can use

Other 3 outcomes

P(at least one fails) = P(X fails only)+P(y fails only)+p(both fail)

= (1-0.7)*0.8+(1-0.8)*0.3+(1-0.7)*(1-08)=0.44