You toss two fair six-sided dice and two coins into the air at the same time and record the outcome when they land. What is the probability of the following event? Give your answer as a fraction in
Reduced form.
E1 :"both dice are the same and both coins are the same"
A) 1/9
B) 13/36
C) 5/18
D) 1/12
E) None of the above.

Question

Quizplus · Accepted Answer

The probability that both dice show the same number is 1/6 (since there are 6 possible outcomes for a die and only 1 favorable outcome for both being the same). The probability that both coins show the same side is 1/2 (since there are 2 possible outcomes for a coin and only 1 favorable outcome for both being the same). Therefore, the probability of both events happening simultaneously is (1/6) * (1/2) = 1/12.

You Toss Two Fair Six-Sided Dice and Two Coins into the Air