The problem is to estimate the probability that the Ragin' Cajun football team will score 30 or more points in their next game, based on the given histogram which summarizes the number of points scored in each game this season.

1. Problem Description

The problem is to estimate the probability that the Ragin' Cajun football team will score 30 or more points in their next game, based on the given histogram which summarizes the number of points scored in each game this season.

2. Solution Steps

First, we need to find the total number of games played. We can find this by summing the number of games in each point range:

Total games = (Number of games in 0-9) + (Number of games in 10-19) + (Number of games in 20-29) + (Number of games in 30-39) + (Number of games in 40-49)

From the histogram, we can read the number of games in each range:

Number of games in 0-9 = 2

Number of games in 10-19 = 4

Number of games in 20-29 = 5

Number of games in 30-39 = 3

Number of games in 40-49 = 2

Total games = 2 + 4 + 5 + 3 + 2 = 16

Next, we need to find the number of games where the team scored 30 or more points. This is the sum of the number of games in the ranges 30-39 and 40-

4

9. Games with 30 or more points = (Number of games in 30-39) + (Number of games in 40-49)

Games with 30 or more points = 3 + 2 = 5

Now, we can estimate the probability that the team scores 30 or more points by dividing the number of games with 30 or more points by the total number of games.

$P(\text{30 or more points}) = \frac{\text{Games with 30 or more points}}{\text{Total games}}$

$P(\text{30 or more points}) = \frac{5}{16}$

3. Final Answer

$\frac{5}{16}$