Three unbiased coins are tossed once. Find the probability of getting
Question:

Three unbiased coins are tossed once. Find the probability of getting exactly 2 tails

 

Solution:

We know that,

Probability of occurrence of an event

$=\frac{\text { Total no.of Desired outcomes }}{\text { Total no.of outcomes }}$

Let T be tails and H be heads

Total possible outcomes = TTT, TTH, THT, HTT, THH, HTH, HHT, HHH

Desired outcomes are exactly two tails. So, desired outputs are TTH, THT, HTT

Total no.of outcomes are 8 and desired outcomes are 3

Therefore, the probability of getting exactly 2 tails $=\frac{3}{8}$

Conclusion: Probability of getting exactly two tails is $\frac{3}{8}$

 

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