Question

A fair coin is tossed 3 times in a row what is the probability that heads appears exactly 2 times

Answer 1

I don't understand sorry

Answer 2

Have you learned about combinations and factorials?

Answer 3

No

Answer 4

Well the answer is 3/8

Answer 5

Thank u

Answer 6

What's the probability that heads appears on only the last toss

Answer 7

Let H represent an outcome of heads and T represent an outcome of Tails
.
For three tosses of the coin all the possible outcomes are:
.
H-H-H
T-H-H
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T
T-T-T
.
These eight possible outcomes are the sample space.
.
To find the probability of tossing heads exactly twice look down the sample space list and
find any outcome that has exactly two H's. The possibilities are T-H-H, H-T-H, and H-H-T.
This means that three of the eight possible outcomes contain exactly two heads. Therefore,
the probability of throwing exactly two heads in three tosses of the coin is 3 out of 8,
or 3/8