Alan collects data about the students in his class. He records their hair color and whether they have freckles. His results are shown in the table below. %C2%A0Category %C2%A0Brown Hair%C2%A0 %C2%A0Blonde Hair%C2%A0 %C2%A0Red Hair%C2%A0 %C2%A0Freckles%C2%A0 %C2%A04 %C2%A05 %C2%A04 %C2%A0No Freckles%C2%A0 %C2%A07 %C2%A04 %C2%A01 Find each probability. P(freckles) P(blonde hair or red hair) P(freckles and brown hair) P(no freckles|red hair)
To calculate each probability, we need to know the total number of students in the class.
The total number of students in the class can be found by summing up the numbers in each category.
Total number of students = 4 + 5 + 4 + 7 + 4 + 1 = 25
1. P(freckles) = Number of students with freckles / Total number of students
P(freckles) = 7 / 25
2. P(blonde hair or red hair) = (Number of students with blonde hair + Number of students with red hair) / Total number of students
P(blonde hair or red hair) = (5 + 4) / 25
3. P(freckles and brown hair) = Number of students with freckles and brown hair / Total number of students
P(freckles and brown hair) = 4 / 25
4. P(no freckles|red hair) = Number of students with red hair and no freckles / Total number of students with red hair
P(no freckles|red hair) = 1 / 4