The probability that a man will be alive in 25 years is 3/5, and that the wife will be alive in 25 years is 2/3. What's the probability that in 25 years, both will be alive?

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Answer 1 · 2017-01-23T16:06:23

#"The Reqd. Prob.="2/5=0.4#

Let, #M=#the Event that a Man will be alive in #25# years, and,

#W=#the Event that the (Man's) Wife (!) will be alive in #25# years.

We are said that, #P(M)=3/5, and, P(W)=2/3#.

We require #P(MnnW)#

Observe that, #M and W# are Independent Events , so that,

#P(MnnW)=P(M)P(W)#. Hence,

#"The Reqd. Prob.="(3/5)(2/3)=2/5=0.4#

Enjoy Maths.!