Answer:
14.6%
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Here, n = 10, r = 4, and p = 1/4.
P = ₁₀C₄ (1/4)⁴ (1−1/4)¹⁰⁻⁴
P = 210 (1/4)⁴ (3/4)⁶
P ≈ 0.146
There is an approximate 14.6% probability that exactly 4 of the 10 adults are on a diet.
