Indian Institute of Foreign Trade 2008 Solved Paper

Question : 51 of 150

Marks: +1, -0

The game of “chuck-a-luck” is played at carnivals in some parts of Europe. Its rules are as follows: if you pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on all three dice, the operator pays you €3; if it comes up on two dice, you are paid €2; and if it comes up on just one die, you are paid €1. Only if the number you picked does not come up at all, you pay the operator €1. The probability that you will win money playing in this game is:

0.52
0.753
0.42
None of these

Validate

Solution:

There are 3 ways to win money in the game. The number you picked can come up in one dice, 2 dice or 3 dice.
The probability of the number you picked coming in all three dice =

(1/6)*(1/6)*(1/6)=1/(216)

The probability of the number picked coming on 2 dice = 3C2*

(5/6)*(1/6)*(1/6)=15/(216)

The probability of the number picked coming on 1 dice = 3C1*

(5/6)*(5/6)*(1/6)=75/(216)

Probability of winning =

(1/216)+(15/214)+(75/216)=(91/216)

=0.421
Therefore, option C is the right answer.

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