Question

a) what is the favorite subject for mrs. higgins class?
b) what is the least favorite subject for mrs. higgins class?
c) if you were to choose a student at random from mrs. higgins class, what is the probability the students favorite subject would be ela?
d) if you were to choose a student at random from mrs. higgins class, what is the probability the students favorite subject would be art or facs? why?
e) if you were to choose a student at random from mrs. higgins class, what is the probability the students favorite subject would not be science or math?

1. in the circle, one \piece of pie\ is not labeled. what is the size of this region? show your work and support your answer.

Explanation:

Step1: Count number of 'X's per subject

Science: 8, FACS: 3, ELA: 5, Math: 1, Art: 3, Phys. Ed: 8

Step2: Calculate total number of students

$8 + 3+5 + 1+3 + 8=28$

Step3: Answer part c

The number of students who like ELA is 5. Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{5}{28}$

Step4: Answer part d

Number of students who like Art or FACS is $3 + 3=6$. Probability = $\frac{6}{28}=\frac{3}{14}$

Step5: Answer part e

Number of students who like Science or Math is $8 + 1=9$. Number of students who don't like Science or Math is $28-9 = 19$. Probability = $\frac{19}{28}$

Answer:

c) $\frac{5}{28}$
d) $\frac{3}{14}$
e) $\frac{19}{28}$