163651
AssignmentMultiple Choice

The Multiplication Rule for Independent Events

Question 163651 • PISD-Statistics B 4th GP

Laura buys an unfair coin online. The coin is supposed to land heads up 75% of the time. If this is true, what is the probability that in 20 flips, the first 15 land heads up and the last 5 land tails up?

Answer
A
(0.75)(15)(0.25)(5)
B
(0.75)15 + (0.25)5
C
(0.75)15 (0.25)5
D
(0.75)(15)+(0.25)(5)

Explanation

For this exact sequence, multiply the probability of each flip: 15 heads each have probability 0.75, and 5 tails each have probability 0.25. Thus the probability is (0.75)^15(0.25)^5, which is choice C. The order is specified, so there is no need to multiply by the number of possible arrangements.

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