Arithmetic Ability
 Probability

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Q.

The probabilities that drivers A, B and C will drive home safely after consuming liquor are 2 / 5, 3 / 7 and 3 / 4, respectively. What is the probability that they will drive home safely after consuming liquor ?

View Answer

Correct choice: C

Explanation:

Let A be the event of driver A drive safely after consuming liquor. Let B be the event of driver B drive safely after consuming liquor. Let C be the event of driver C drive safely after consuming liquor. P(A)=2/5,P(B)=3/7,P(C)=3/4 The events A, B and C are independent . Therefore, P(A∩B∩C)=P(A)P(B)P(C)=25*37*34=970 Therefore, The probability that all the drivers will drive home safely after consuming liquor is 9/70
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