Question

you spin the spinner flip a coin then spin the spinner again find the probability of the compound event. The probability of spinning a for flipping heads than is?

Answer 1

Given:

Numbers in the spinner = 1 to 9 ==> 9 numbers

Possibilities in a coin == Head and tail

Given that you spin the spinner flip a coin then spin the spinner again, let's find the probability of spinning a 4, flipping head, then spinning a 7.

We have the following:

• Probability of spinning a 4:

`P(4)=(1)/(9)`

• Probability of flipping head:

`P(head)=(1)/(2)`

• Probability of spinning a 7:

`P(7)=(1)/(9)`

Hence, we have:

`\begin{gathered} P=P(4)*P(head)*P(9) \\ \\ P=(1)/(9)*(1)/(2)*(1)/(9) \\ \\ P=(1*1*1)/(9*2*9) \\ \\ P=(1)/(162) \end{gathered}`

Therefore, the probability is:

`(1)/(162)`

ANSWER:

`(1)/(162)`