Question

Leah flips a coin, and then she spins a spinner with 3 equal sections coloredred, green, and blue. What is the probability that• the coin flips heads, and• the spinner lands on either red or blue?Write your answer as a percentage, to the nearest percent.

Answer 1

Step 1: Experimental Probaility

`\begin{gathered} \text{Probability that coin flips heads= }(1)/(2)\text{ } \\ \text{Probability that spinner land on blue =}(1)/(3) \\ \text{Probability that spinner land on red = }(1)/(3) \\ \text{Probability that spinner land on red or blue = }(1)/(3)+(1)/(3) \\ =(2)/(3) \end{gathered}`
`\begin{gathered} \text{Therefore } \\ \text{Probability that spinner land on red or blue and coin flips heads}=\text{ }(1)/(2)*(2)/(3)\text{ } \\ =\text{ }(1)/(3)\text{ } \\ \text{Percentage value = }(1)/(3)\text{ }*\text{ 100 \%} \\ =\text{ 33.3\%} \\ =\text{ 33\% (nearest percent)} \end{gathered}`

Hence the Probability that spinner land on red or blue and coin flips heads = 33%