Answer:
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215
Step-by-step explanation:
A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:
where:
h(x) is the probability of x successes,
n is the number of attempts,
A is the number of successes
N is the number of elements
For this problem:
A = 30, x = 5, N = 50, n = 10
The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is
P(x=5) = 0.215
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215