Each of two persons tosses three fair coins. The probability that they obtain the same number of heads is

Options

A. `1/2`
B. `5/16`
C. `7/16`
D. None of these

Answer

To find the probability that two persons tossing three fair coins obtain the same number of heads, we can follow these steps:

### Step 1: Determine the possible outcomes for one person tossing three coins.
When tossing three coins, each coin has two possible outcomes: heads (H) or tails (T). The total number of outcomes when tossing three coins is given by:
\[ 2^3 = 8 \]
The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.