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Consider the random experiment of tossin...

Consider the random experiment of tossing three coins. If X denote, the number of tails in the sample space, exhibit X.

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To solve the problem of determining the random variable \( X \), which denotes the number of tails when tossing three coins, we can follow these steps: ### Step 1: Identify the Sample Space When tossing three coins, each coin can either land on heads (H) or tails (T). The total number of outcomes when tossing three coins can be calculated as follows: - Each coin has 2 possible outcomes (H or T). - Therefore, for three coins, the total number of outcomes is \( 2^3 = 8 \). The sample space \( S \) can be listed as: ...
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