Q4) Kiarah collects data throughout the basketball season and uses these 1 point
data to determine the probabilities of different teams playing in the league
championship game. The probabilities for her four favorite teams playing in
the championship game are shown below. Which of these teams is least
likely to play in the championship game?*
• Tigers: P =
• Redbirds: P =
• Bulldogs: P =
•Titans: P =
a. Tigers
B. Redbirds
C. Bulldogs
D. Titans

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120