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John is playing a game in which a coin is tossed and a pair of dice is rolled. He wins automatically if he gets heads on the coin and the sum of the dice is an even number less than six. What is the probability that he will get this combination?

A.1/18

B.5/36

C.1/8

D.2/11

 Dec 7, 2016
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Coin: Chances of getting a head is: 1/2

Dice: Chances of getting a total of 2 is:1/6 x1/6 =1/36

         Chances of getting a total of 4 is:1/36 + 1/36 + 1/36 =3/36 =1/12

So:1/2 x [1/36 + 1/12] =1/18, or A.

Moderators: Please verify this. Thanks.

 Dec 7, 2016

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