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