nellie and her brother are at a store shopping for a beanbag chair for their schools library. the store…

nellie and her brother are at a store shopping for a beanbag chair for their schools library. the store sells beanbag chairs with different fabrics and types of filling.\n| |foam|beads|\n|--|--|--|\n|velvet|4|4|\n|suede|5|3|\nwhat is the probability that a randomly selected beanbag chair is made from suede and is filled with foam?\nsimplify any fractions.

nellie and her brother are at a store shopping for a beanbag chair for their schools library. the store sells beanbag chairs with different fabrics and types of filling.\n| |foam|beads|\n|--|--|--|\n|velvet|4|4|\n|suede|5|3|\nwhat is the probability that a randomly selected beanbag chair is made from suede and is filled with foam?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate the total number of beanbag chairs.

Add the number of chairs for each combination of fabric and filling: $$ 4 (\text{Velvet, Foam}) + 4 (\text{Velvet, Beads}) + 5 (\text{Suede, Foam}) + 3 (\text{Suede, Beads}) = 16 $$ The total number of beanbag chairs is 16.

Step2: Identify the number of chairs made from suede and filled with foam.

From the table, the number of chairs that are made from suede and filled with foam is 5.

Step3: Calculate the probability.

The probability is the ratio of the number of favorable outcomes (suede and foam chairs) to the total number of outcomes (all chairs). $$ P(\text{Suede and Foam}) = \frac{\text{Number of Suede and Foam chairs}}{\text{Total number of chairs}} $$ $$ P(\text{Suede and Foam}) = \frac{5}{16} $$ The fraction $\frac{5}{16}$ is already in its simplest form.

Answer:

$\frac{5}{16}$