Question

there are 28 students whose last names begin with the letters g, h, j, or k. information about the probability of randomly selecting one of these students is listed below.

• probability of selecting a student whose last name begins with g: $\frac{1}{7}$
• probability of selecting a student whose last name begins with g or h: $\frac{5}{14}$

how many of these students have a last name that begins with h?
a. 4
b. 5
c. 8
d. 7

Explanation:

Step1: Find number of G students

Number of G students = Total students × P(G) = $28 × \frac{1}{7} = 4$

Step2: Find number of G or H students

Number of G or H students = Total × P(G or H) = $28 × \frac{5}{14} = 10$

Step3: Calculate number of H students

Number of H students = (G or H) - G = $10 - 4 = 6$

Answer:

C. 6