Frank and his 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.The probability that a beanbag chair is made from suede is 0.6, the probability that it is filled with beads is 0.2, and the probability that it is made from suede and is filled with beads is 0.1.What is the probability that a randomly chosen beanbag chair is made from suede or is filled with beads?Write your answer as a whole number, decimal, or simplified fraction.
Question
Frank and his 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.The probability that a beanbag chair is made from suede is 0.6, the probability that it is filled with beads is 0.2, and the probability that it is made from suede and is filled with beads is 0.1.What is the probability that a randomly chosen beanbag chair is made from suede or is filled with beads?Write your answer as a whole number, decimal, or simplified fraction.
Solution
The probability that a randomly chosen beanbag chair is made from suede or is filled with beads can be found using the formula for the probability of the union of two events: P(A or B) = P(A) + P(B) - P(A and B).
Here, event A is the chair being made from suede and event B is the chair being filled with beads.
So, P(A or B) = P(A) + P(B) - P(A and B) = 0.6 + 0.2 - 0.1 = 0.7.
Therefore, the probability that a randomly chosen beanbag chair is made from suede or is filled with beads is 0.7 or 70%.
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