Question

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

Result of spin

Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails


What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight

Answer 1

`\sf (1)/(8)`

Explanation:

Spinner choices: Red, Green, Yellow, Blue

Coin choices: Heads, Tails

`\large\begin{array} 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 = (Number\:of\:ways\:it\:can\:occur)/(Total\:number\:of\:possible\:outcomes)`

`\implies \sf P(blue)=(1)/(4)`

`\implies \sf P(heads)=(1)/(2)`

`\implies \sf P(blue)\:and\:P(heads)=(1)/(4) * (1)/(2)=(1)/(8)`