Question

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .

Answer 1

Image of spinner is attached.

Answer:

Probability of the compound event is $\frac{1}{9}$

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = $\frac{2}{3}$

P(B) = $\frac{1}{2}$

P(C) = $\frac{1}{3}$

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

$= \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9}$

Probability of the compound event is $\frac{1}{9}$