Begin your response to QUESTION 5 on this page.
cards
5. Baseball cards are trading cards that feature data on a player's performance in baseball games. Michelle is at a
national baseball card collector's convention with approximately 20,000 attendees. She notices that some
collectors have both regular cards, which are easily obtained, and rare cards, which are harder to obtain. Michelle
believes that there is a relationship between the number of months a collector has been collecting baseball cards
and whether the majority of the cards (cards appearing more often) in their collection are regular or rare. She
obtains information from a random sample of 500 baseball card collectors at the convention and records how
many full months they have been collecting baseball cards and whether the majority of the cards in their card
collection are regular or rare. Her results are displayed in a two-way table.
Majority Type of Baseball Cards and Months of Collecting Baseball Cards
Fewer Than
6 Months
6-10
Months
11-15
Months
16-20
Months
21 or More
Months
Total
Has a Majority of
Regular Baseball Cards
80
84
71
76
112
423
Has a Majority of
Rare Baseball Cards
11
16
9
6
35
77
Total
91
100
80
82
147
500
(a) If one collector from the sample is selected at random, what is the probability that the collector has been
collecting baseball cards for 11 or more months and has a majority of regular baseball cards? Show your work.
(b) Given that a randomly selected collector from the sample has been collecting baseball cards for fewer than
6 months, what is the probability the collector has a majority of regular baseball cards? Show your work.