A coin is tossed three times, where (i) A : head on third toss,B: heads on first two tosses (ii) A: at least two heads, B : at most two heads (iii) A : at most two tails,B at least one tail In each case find P(A/B).
Text Solution
AI Generated Solution
To solve the problem, we will calculate the conditional probabilities \( P(A|B) \) for the three different cases provided.
### Step-by-Step Solution
#### Step 1: Identify the Sample Space
When a coin is tossed three times, the sample space \( S \) consists of all possible outcomes. Each toss can result in either a Head (H) or a Tail (T). Therefore, the total number of outcomes when tossing a coin three times is:
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