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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?

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 class=
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 class=

Sagot :

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:

[tex]P(4)=\frac{1}{9}[/tex]

• Probability of flipping head:

[tex]P(head)=\frac{1}{2}[/tex]

• Probability of spinning a 7:

[tex]P(7)=\frac{1}{9}[/tex]

Hence, we have:

[tex]\begin{gathered} P=P(4)*P(head)*P(9) \\ \\ P=\frac{1}{9}*\frac{1}{2}*\frac{1}{9} \\ \\ P=\frac{1*1*1}{9*2*9} \\ \\ P=\frac{1}{162} \end{gathered}[/tex]

Therefore, the probability is:

[tex]\frac{1}{162}[/tex]

ANSWER:

[tex]\frac{1}{162}[/tex]

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