polly was a spectator at her towns air guitar competition. contestants were allowed to play either the…

polly was a spectator at her towns air guitar competition. contestants were allowed to play either the acoustic or electric air guitar, but not both. polly recorded which type of guitar each contestant played. she also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. what is the probability that a randomly selected contestant was dressed in velvet and played an acoustic guitar? simplify any fractions.

polly was a spectator at her towns air guitar competition. contestants were allowed to play either the acoustic or electric air guitar, but not both. polly recorded which type of guitar each contestant played. she also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. what is the probability that a randomly selected contestant was dressed in velvet and played an acoustic guitar? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of contestants

Add up all values in the table: $5 + 3+5 + 3=16$.

Step2: Determine number of favorable - cases

The number of contestants dressed in velvet and played an acoustic guitar is 5.

Step3: Calculate probability

Probability $P=\frac{\text{Number of favorable cases}}{\text{Total number of cases}}=\frac{5}{16}$.

Answer:

$\frac{5}{16}$