Questions & Answers

Question

Answers

Answer
Verified

Probability of an event = the total number of possible outcomes/ the total number of outcomes.

We are given that the total dice thrown are 2. And when the first die is rolled, we get a 5.

The probability is defined as the likeliness of an event to occur. It is defined as the total number of possible outcomes divided by the total number of events.

First, we will list the total outcomes when there is a 5 on the first die.

So, the total outcomes will be: {(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)}

Now, we are given a condition that we need to find the probability that the total of two dice will be greater than 9.

So, the possible outcomes which has a total greater than 9 are: {(5, 5), (5, 6)}

Using the definition of probability,

Probability = the total number of possible outcomes /the total number of outcomes

Substituting the value, we get

Probability = $\dfrac{2}{6} = \dfrac{1}{3}$