A fair coin is tossed three times in succession. The set of equally likely outcomes is StartSet HHH comma HHT comma HTH comma TH

Question

2 years ago

6

H comma HTT comma THT comma TTH comma TTT EndSet. Find the probability of getting exactly zero tails.

1 answer:

liq [111] · Answer 1 · 2022-08-29T06:31:20+03:00

The probability of getting exactly zero tails is 1/8.

Step-by-step explanation:

When a fair coin is tossed three time, the set of equally likely outcomes is:

S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}

n(S)=8

Let A be the event that there are exactly zero tails which means there are all heads

Then

A= {HHH}

n(A)=1

$P(A)=\frac{n(A)}{n(S)}\\=\frac{1}{8}$

The probability of getting exactly zero tails is 1/8.

Keywords: Probability, Equally likely events

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