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GreenHerbz206
02.01.2021 •
Mathematics
A small deck of 5 cards consists of 3 red cards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 5 times.
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Ответ:
0.0776
Step-by-step explanation:
Number of cards = 5 ; 3 red and 2 green
Since it is with replacement :
Probability of picking a replacement d ball: P(red) = required / total possible outcomes
P(red) = 3 / 5 = 0.6
Using binomial :
P(x =x) = nCx * p(x)^x * (1 - p)^(n - r)
P(x = 5) = 5C5 * (0.6)^5 * 0.4^0
P(x = 5) = 1 * 0.07776 * 1
P(x = 5) = 0.0776
Ответ: