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elena55 [62]
3 years ago
12

What is the probability that the number of “HEADs” on these four coins is equal to 3? (4 points)

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

Answer:

a. \frac{1}{4}  

Step-by-step explanation:  

We are asked to find the probability of getting 3 heads on 4 flips.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

Since we know that flipping a fair coin has 2 equally likely possible outcomes, so flipping four coins will have 2*2*2*2=16 possible outcomes.

Sample space of possible outcomes.

HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,

THHH, THHT, THTH,THTT, TTHH, TTHT, TTTH, TTTT.

We can see that there are 4 favorable outcomes of getting heads.

\text{Probability of getting 3 heads}=\frac{4}{16}

\text{Probability of getting 3 heads}=\frac{1}{4}

Therefore, the probability of getting 3 heads on 4 coins will be \frac{1}{4} and option a is the correct choice.

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