A coin is tossed three times. Let the events `A ,B` and `C` be defined as follows: `A=` first toss is head, `B=` second toss is head, and `C=` exactly two heads are tossed in a row. Check the independence of `A&B` `B&C` `C&A`

Explanation

To check the independence of the events A, B, and C defined in the problem, we will follow these steps:

### Step 1: Define the Sample Space
When a coin is tossed three times, the total possible outcomes can be represented as:
\[ S = \{ HHH, HHT, HTH, HTT, THH, THT, TTH, TTT \} \]
Here, H represents heads and T represents tails. There are a total of 8 outcomes.

### Step 2: Define the Events
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