Question

CALCULATO 11 i 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. If necessary round your answer to the nearest hundredth. 1 2 3 The probability of spinning blue, flipping heads, then spinning a 1 is

Answer 1

Let:

A = Spinning blue

B = flipping heads

C = Spinning a 1

The probality of spinning blue is given by:

`P(A)=(1)/(3)`

The probality of flipping heads is:

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

The probality of spinning 1 is given by:

`P(C)=(1)/(3)`

Since they are independent events:

`P(A\cap B\cap C)=P(A)\cdot P(B)\cdot P(C)=(1)/(3)\cdot(1)/(2)\cdot(1)/(3)=(1)/(18)`