Question

in 2023, mr. hummel’s ap stats classes were asked if they were born in co and what their favorite season is. the results are summarized below in a two way table.

coun\what is your favorite season?	fall	spring	summ	winter	grand
no	9	1	6	4	20
yes	10	6	10	12	38
grand	19	7	16	16	58

one of the students from this group is randomly chosen. which is p(born in co and summer is the favorite season)?
a 54/58
b 10/38
c none of these
d 10/16
e 10/58
f 44/58

Explanation:

Step1: Identify the counts

We need the number of students born in CO (Yes) and with favorite season Summer, and the total number of students. From the table, the number of students born in CO and favorite season Summer is 10. The total number of students is 58 (from the Grand total row).

Step2: Calculate the probability

The probability \( P(\text{born in CO and Summer is favorite season}) \) is the number of favorable outcomes (10) divided by the total number of outcomes (58). So the probability is \( \frac{10}{58} \).

Answer:

E. 10/58