Question

Sonny has a six-sided number cube labeled with numbers one through six and a spinner shown below which the spinner is labeled a b c and d what is the probability that Sonny Rosen number on the number cube that is greater than or equal to 5 and the spinner lands on Section labeled a ?

Answer 1

`P(\ge5-\text{and}-a)=(1)/(12)`

Step-by-step explanation

We want to find the probability that Sonny rolls a number on the number cube that is greater than or equal to 5 and the spinner lands on the section labeled a.

On the number cube, there are only 2 numbers greater than or equal to 5 i.e. 5 and 6.

Therefore, the probability of rolling a number greater than or equal to 5 is:

`\begin{gathered} P(\ge5)=(2)/(6) \\ P(\ge5)=(1)/(3) \end{gathered}`

There are four sections on the spinner. This means that the probability of landing on section a is:

`P(a)=(1)/(4)`

The probability that Sonny rolls a number on the number cube that is greater than or equal to 5 and the spinner lands on the section labeled a can be calculated by finding the product of the two probabilities gotten above.

That is:

`\begin{gathered} P(\ge5-\text{and}-a)=(1)/(3)\cdot(1)/(4) \\ P(\ge5-\text{and}-a)=(1)/(12) \end{gathered}`

That is the answer.