Question

what is the probability, when 2 dice are thrown that the total rolled is 5. select an answer: pr = 0 pr = 1/9 ~ 0.1111111 pr = 2/9 ~ 0.2222222 pr = 1

Explanation:

Step1: Find total number of outcomes

When a single die is rolled, there are 6 possible outcomes. When 2 dice are rolled, the total number of outcomes is $6\times6 = 36$ according to the multiplication - principle.

Step2: Find number of favorable outcomes

The possible combinations of two - dice rolls that sum to 5 are: (1,4), (2,3), (3,2), (4,1). So there are 4 favorable outcomes.

Step3: Calculate the probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{4}{36}=\frac{1}{9}\approx0.1111111$.

Answer:

$Pr = 1/9\approx0.1111111$