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victus00 [196]
3 years ago
13

A coin is rolled three times.find the probability of getting 2 heads​

Mathematics
2 answers:
Setler [38]3 years ago
6 0

There are 8 possible outcomes when you throw a coin three times:

HHH,\ HHT,\ HTH,\ HTT,\ THH,\ THT,\ TTH,\ TTT

Out of these combination, the ones with exactly two heads are

HHT,\ HTH,\ THH

So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8

san4es73 [151]3 years ago
3 0

Answer:  \bold{\dfrac{3}{8}}

<u>Step-by-step explanation:</u>

Step 1: Numerator

You are looking for an outcome of getting exactly two heads out of a total of three tosses.  This can be written as: ₃C₂

The formula for a combination problem is: \dfrac{n!}{r!(n-r)!}

  • n is the total number of tosses
  • r is the total number of successes (in this case, heads)

_3C_2=\dfrac{3!}{2!(3-2)!}=\dfrac{3\times2\times1}{2\times1\times 1}=3

There are 3 successes (heads)

Step 2: Denominator

You are looking for the total possible combinations of heads and tails for three tosses (2³)

1st toss and 2nd toss and 3rd toss

     2       x          2         x         2       =  8 total possible outcomes    

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