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A coin is tossed three times. draw a line from each out come to its probability

A coin is tossed three times. draw a line from each out come to its probability-example-1

2 Answers

3 votes
If you toss a coin 3 times, there are 2³ possible outcomes.
2³ = 8 possible outcomes.

The outcomes are: { HHH, HHT, HTH, THH, TTT, TTH,THT,HTT}

P(3 heads) = 1/8
3 heads outcome is {HHH}

P( exactly 2 heads) = 3/8
Exactly 2 heads= { HHT, HTH, THH }

P(first 2 tosses are head) = 2/8 = 1/4
First 2 tosses are head = { HHH, HHT}

P(at least 2 heads) = 4/8 = 1/2
At least 2 heads = { HHH, HHT, HTH, THH}

User Chris Aung
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4 votes
I won't say each but I'll say something that will help. think of it as a tree.

First flip. Second flip Third flip

H or T. H or T. H or T

notice there are 6 probabilitys in total and 2 for each flip.
User Ohe
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7.6k points