Question

A spinner has the sections A through F. The spinner is spun and a 6-sided die is rolled. What is the probability that the outcome will be D and 5?1/361/181/121/6

Answer 1

To find the probability of having a D and %, we would use the concept of mutually exclusive events here

But probability is given as

`P=\frac{\text{ number of favourable outcomes}}{\text{total number of }possible\text{ outcomes}}`

The probability of choosing a D is

A, B, C, D, E and F. This can be found as

`P_a=(1)/(6)`

The probabilty of choosing a 5 out of 6 possible outcomes is

`P_n=(1)/(6)`

The probability of having a D and 5 would be

`\begin{gathered} P=P_a* P_n \\ P=(1)/(6)*(1)/(6) \\ P=(1)/(36) \end{gathered}`

From the calculations above, the answer to this question is 1/36