Question

Alin rolls two 4-sided dice and tosses one coin. Determine the probability that the

product of the dice is an odd number and the coin lands tails.

Please answer this question thoroughly showing me how. A little confused :'(

Answer 1

First, we'll list all the possible dice rolls
{1,1} {1,2} {1,3} {1,4}
{2,1} {2,2} {2,3} {2,4}
{3,1} {3,2} {3,3} {3,4}
{4,1} {4,2} {4,3} {4,4}

Then we find how many rolls have an odd product, which is 4. We then divide this by the total number of rolls (16) to get a probability of 1/4 (since 4/16 simplified is 1/4). Multiply this by 1/2 to get a probability of 1/8 (We do this because of they are independent events. Google it for more info).

So your final answer is 1/8

:)