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charle [14.2K]
2 years ago
11

A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of

the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Mathematics
1 answer:
julia-pushkina [17]2 years ago
8 0

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

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We have similar triangles so

12/x = (12+78)/(x+13)

We can skip some algebra by doing the ratio on the pieces.  We'll show it works at the end.

12/x = 78/13

x = 12(13)/78 = 2

We check

12/2 = 6

(12+78)/(2+13) = 90/15 = 6, good

Answer: x=2

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