krys4281
18.11.2020 •
Mathematics
An urn contains 17 white balls and 18 red balls. A sample of four balls is selected at random from the urn. What is the probability that the sample contains two white balls and two red ones?
a. 0.0286
b. 0.2286
c. 0.3974
d. 0.0944
e. 0.0442
f. None of the above.
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Ответ:
c. 0.3974
Step-by-step explanation:
Given;
number of white balls, W = 17
number of red balls, R = 18
Total number of balls, T = 35
The number of ways the event will occur is given by
= P(2 whites) and P(2 reds)
= P(2whites) x P(2 reds)
= 17C2 x 18C2
= 136 x 153
= 20,808
The total number of possible outcome
= 35C4
= 52,360
The probability = 20,808 / 52,360
= 0.3974
The correct option is "C"
Ответ: