Question

Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.

Answer 1

Answer:

$\sf \dfrac{1}{8}$

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

$\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}$

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \sf P(blue)=\dfrac{1}{4}$

$\implies \sf P(heads)=\dfrac{1}{2}$

$\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}$