Question

At West View High School, every freshman (Fr) and sophomore (So) has either math (M), science (S), English (E), or history (H) as the first class of the day. The two-way table shows the distribution of students by first class and grade level.

A 6-column table has 3 rows. The first column has entries Freshman, sophomore, Total. The second column is labeled M with entries 78, 38, 116. The third column is labeled S with entries 32, 65, 97. The fourth column is labeled E with entries 59, 42, 101. The fifth column is labeled H with entries 43, 51, 94. The sixth column is labeled Total with entries 212, 196, 408.

Which expression represents the conditional probability that a randomly selected freshman has English as the first class of the day?

P(
)

What is the probability that a randomly selected freshman has English as the first class of the day?

Answer 1

P(E | Fr) = 59/212

Probability = 59/212 ≈ 0.278 (about 27.8%).