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)

$P(\text{spinning blue)}=\frac{1}{3}$

- The probability of flipping heads is:

Favorable outcomes = 1 (head)

Total outcomes = 2 (head and tail)

$P(\text{flipping head)=}\frac{1}{2}$

- The probability of spinning a one is:

Favorable outcomes = 1 (number 1)

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

$P(\text{spinning a one)=}\frac{1}{3}$

Next, the probability of the compound event:

$P(\text{compound event)=}\frac{1}{3}\times\frac{1}{2}\times\frac{1}{3}=\frac{1\times1\times1}{3\times2\times3}=\frac{1}{18}$

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