Question

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) (6)

Answer 1

To calculate the probability of the sum being 6 when two dice are rolled, we divide the number of favorable outcomes (5) by the total number of possible outcomes (36), resulting in a probability of 5/36.

Step-by-step explanation:

The student has asked to compute the probability that the sum of the pips on the upward faces of 2 regular 6-sided dice is 6. To calculate this, we need to consider the total number of possible outcomes when two dice are tossed, which is 36, because each die has 6 faces and 6 x 6 = 36.

Now, we need to find all the pairs of numbers that add up to 6: (1,5), (2,4), (3,3), (4,2), and (5,1). There are 5 such pairs, hence 5 favorable outcomes.

The probability of the sum being 6 is the number of favorable outcomes divided by the total number of possible outcomes. Therefore, P(sum=6) = 5/36.