Question

An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearingon the fifth toss is:

Answer 1

probability of tail apperparingon 1/5

Answer 2

Answer:

Probability of tail appearing on the fifth toss is $\frac{1}{2}$

Step-by-step explanation:

Given : An unbiased coin is tossed 5 times. If tail appears on first four tosses.

To find : Probability of tail appearing on the fifth toss?

Solution :

The unbiased coin has {H,T} two outcomes

Total outcome = 2

Favorable outcome of getting tail on the coin = 1

Probability of getting a tail is

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{1}{2}$

As each toss is independent of the one before.

Therefore, Probability of tail appearing on the fifth toss is $\frac{1}{2}$