Question

Alexandra rolls two number cubes numbered one through six while playing her favorite board game. She will get a second turn if she rolls a sum that is a number less than three. What are Alexandra's chances of getting a second turn when she rolls the number cubes?

Answer 1

The chances of Alexandra getting a second turn by rolling two dice and getting a sum less than three is 1/36, given there is only one possible sum which is 2, achieved by rolling a one on both dice.

Step-by-step explanation:

Alexandra rolls two number cubes numbered one through six while playing her favorite board game. She will get a second turn only if she rolls a sum that is a number less than three. To calculate Alexandra's chances of getting a second turn, we must first determine all the possible sums she could roll with two dice.

Here is a list of all possible sums from rolling two six-sided dice:

• 2 (1+1)

We see that there is only one sum that is less than three, which is 2, achieved by rolling a one on both dice. There are 6x6=36 possible outcomes when rolling two dice (since each die has 6 sides), and only a single outcome will result in a sum less than 3.

Therefore, the probability that Alexandra will get a second turn is 1/36, which is the number of favorable outcomes divided by the total number of possible outcomes when rolling two dice.