Question

Laura and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. Foam Beads Velvet 3 6 Suede 3 6 What is the probability that a randomly selected beanbag chair is made from suede given that the beanbag chair is filled with beads? Simplify any fractions.

Answer 1

You have to determine the probability that a beanbag that is chosen at random is made of suede, given that the beanbag is filled with beads.

Symbolically:

`P(suede|beads)`

Since we already know that the beanbag is filled with beads, instead of working with the whole sample, you have to work with the bags that were filled with beads:

The probability can be determined as the quotient between the bags made of suede and filled with beads and the total number of bags filled with beads:

`\begin{gathered} P(suede|beads)=(6)/(12) \\ P(suede|beads)=(1)/(2) \end{gathered}`