The probability of Ann passing her math test is 90%. The probability she passes her English test is 80%. The probability she passes her Chemistry test is 70%. What is the probability she passes all three tests?

Question

2285 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-31T14:17:29

#50.4%#.

Let #M=# the Event that Ann passes Maths. Test.

#E and C# denote the Events of her passing in English and

Chemistry Tests, resp.

Then, we are given that,

#P(M)=90%=9/10, P(E)=8/10, &, P(C)=7/10#.

#"The Reqd. Prob.="P(MnnEnnC).#

Since, the Events are Independent, the Reqd. Prob.

#=P(M)P(E)P(C)#

#=(9/10)(8/10)(7/10)#

#=504/1000#

#=50.4%#.