Someone tossed 4 coins.
What is the probabilty that he will get exactly 3 tails when he tosses the 4 coins?
There are actually many ways to solve this problem, but I will show you one I like the best:
There are 2 * 2 * 2 * 2 = 16 possibilities.
We can have 4 possibiltiies that satisfy the problem:
TTTH
TTHT
THTT
HTTT
Thus the answer is 4/16 = 1/4.
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ShockFish
123×12×(41)=416=14
Explanation:
There is a 12×12×12 chance of the successes (3 tails)
There is a 12 chance of failure (1 head)
There are (41) ways to order the failure (the same as (43), which counts the ways to order the successes.)