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.

Respuesta :

Step 1: Experimental Probaility

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

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