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mash [69]
3 years ago
8

A fair coin is tossed twice in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. What is the probability of ge

tting exactly two tails?
Mathematics
2 answers:
djverab [1.8K]3 years ago
5 0
The probability is 1/4
This is because:
Probability of first tails = 1/2
Probability of second tails = 1/2
Probability of first AND second tails = 1/2 * 1/2
= 1/4
This is also visible in the set of outcomes
Brums [2.3K]3 years ago
4 0

Answer: 0.25

Step-by-step explanation:

Given : A fair coin is tossed twice in succession.

The set of equally likely outcomes is {HH, HT, TH, TT}.

i.e. The total number of outcomes = 4

In order to get exactly two tails , the total number of favorable outcomes = 1  (TT)

We know that , \text{Probability }=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}

Then, the probability of getting exactly two tails = \dfrac{1}{4}=0.25

Hence, the required probability = 0.25

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