Question

Martha has a box of assorted chips. There are 2 bags of Doritos, 4 bags of Cheetos, and 5 bags of plain

potato chips.

a. What is the probabilty that Martha will grab a bag of potato chips? Write your answer as an unreduced
fraction & a percent.

b. If Martha grabs a bag of potato chips and takes them to eat with her lunch, what is the probability that her
friend, Jamie, will grab a bag of potato chips out of the box next? Write your answer as an unreduced fraction
& a percent.

c. Is this an independent or dependent event? EXPLAIN.

Answer 1

a. The probability that Martha will grab a bag of potato chips is 5/11 or 45.45%.

b. The probability that Jamie will grab a bag of potato chips out of the box next is 4/10 or 40%.

c. This is a dependent event because Martha's choice of a bag of potato chips affects the probability of Jamie's choice. If Martha chooses a bag of potato chips, then there are 4 bags of potato chips remaining in the box, so Jamie's probability of choosing a bag of potato chips is 4/10 or 40%. If Martha chooses a bag of Doritos or Cheetos, then there are 5 bags of potato chips remaining in the box, so Jamie's probability of choosing a bag of potato chips is 5/10 or 50%.