Question
There are two identical dice with a single letter on each of the faces. The following six letters : Q, R, S,T, U and V, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes : Q, U and V?
Options :
1/6
3/4
5/36
1/4
Answer :
1/4
Solution :
Given : Two identical dice with a single letter on each of the faces.
The following six letters : Q, R, S, T, U and V one on each of the faces.
Any of the six outcomes are equally likely.
P(Event) = P(getting outcomes from dice one) . P(getting outcomes from dice two)
For favorable outcome we need any one of them Q, U, V
P(E) = Favorable outcomes / Total outcomes
P(E) = 3/6 × 3/6 =1/4
Hence, the correct option is (D).
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