What is the probability of getting two heads and one tail when a coin is flipped three times? 1/3 3/8 1/2

Referring to the table attached, there is 3 possible outcomes between the total eight possibilities that we got two HEADs and one Tail if a coin is flipped three times.

[tex]P= \frac{number ~of ~possible~outcomes~of~2H+1T}{total} = \frac{3}{8} [/tex]

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SerenaBochenek SerenaBochenek · Answer 2 · 2019-05-07T09:29:01+02:00

Answer:

[tex]\text{The probability is }\frac{3}{8}[/tex]

Step-by-step explanation:

Given that a coin is flipped three times.

we have to find probability of getting two heads and one tail.

Total outcomes are

[tex]S=\{HHH, HHT, HTH, THH, TTT, TTH, THT, HTT\}[/tex]

Total number of outcomes=8

Favourable outcomes are HHT, HTH, THH

Number of favourable outcomes=3

[tex]Probability=\frac{\text{No. of Favourable outcomes}}{\text{Total number of outcomes}}=\frac{3}{8}[/tex]

[tex]\text{Hence, the probability is }\frac{3}{8}[/tex]