Question

You spin a 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.The probability of spinning blue, flipping heads, then spinning a one is _

Answer 1

The probability is given by:

`P=\frac{numb\text{er of favourable outcomes}}{\text{total number }of\text{ outcomes}}`

Therefore:

- The probability of spinning blue is:

Favorable outcomes = 1 (blue color)

Total outcomes = 3 (red, blue, and yellow)

`P(\text{spinning blue)}=(1)/(3)`

- The probability of flipping heads is:

Favorable outcomes = 1 (head)

Total outcomes = 2 (head and tail)

`P(\text{flipping head)=}(1)/(2)`

- The probability of spinning a one is:

Favorable outcomes = 1 (number 1)

Total outcomes = 3 (numbers 1, 2 and 3)

`P(\text{spinning a one)=}(1)/(3)`

Next, the probability of the compound event:

`P(\text{compound event)=}(1)/(3)*(1)/(2)*(1)/(3)=(1*1*1)/(3*2*3)=(1)/(18)`

Answer: the probability of the compound event is 1/18