Answer:
0.0256
Step-by-step explanation:
Assuming a binomial model, with probability of success (getting a red marble) p = 0.20. The probability of obtaining 'k' successes in 'n' trials is:
[tex]P(x=k)=\frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}[/tex]
For k = 3 red marbles in n = 4 trials:
[tex]P(x=3)=\frac{4!}{(4-3)!3!}*0.20^3*(1-p)^{4-3}\\P(x=3)=4*0.20^3*0.8\\P(x=3) = 0.0256[/tex]
The probability that the child gets exactly three red marbles is 0.0256.
