Two unbiased coins are tossed. The probability of obtaining both tail isa)2/4b)3/4c)d)noneCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Problem:

Two unbiased coins are tossed. Find the probability of obtaining both tails.

Solution:

To solve this problem, we need to calculate the probability of obtaining both tails when two unbiased coins are tossed.

Step 1: Define the Sample Space:

The sample space is the set of all possible outcomes of the experiment. In this case, when two coins are tossed, the possible outcomes are:

Step 2: Determine the Favorable Outcomes:

We are interested in the outcome of obtaining both tails (TT).

Step 3: Calculate the Probability:

The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome (TT) and four possible outcomes (HH, HT, TH, TT) in the sample space.

Therefore, the probability of obtaining both tails is:

P(TT) = Number of favorable outcomes / Total number of possible outcomes = 1/4

Answer:

The correct answer is option 'C', which is 1/4.