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

Respuesta :

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

But probability is given as

[tex]P=\frac{\text{ number of favourable outcomes}}{\text{total number of }possible\text{ outcomes}}[/tex]

The probability of choosing a D is

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

[tex]P_a=\frac{1}{6}[/tex]

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

[tex]P_n=\frac{1}{6}[/tex]

The probability of having a D and 5 would be

[tex]\begin{gathered} P=P_a\times P_n \\ P=\frac{1}{6}\times\frac{1}{6} \\ P=\frac{1}{36} \end{gathered}[/tex]

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