Question
If N coins are tossed than number of element in the sample space is
Answers
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GPT-4o mini
When tossing \( N \) coins, each coin has 2 possible outcomes: heads (H) or tails (T).
The sample space is the set of all possible outcomes of these coin tosses. Since each of the \( N \) coins can independently show one of 2 outcomes, the total number of possible outcomes (or elements in the sample space) is calculated as follows:
\[
\text{Number of elements in the sample space} = 2^N
\]
So, if you toss \( N \) coins, the number of elements in the sample space is \( 2^N \).
The sample space is the set of all possible outcomes of these coin tosses. Since each of the \( N \) coins can independently show one of 2 outcomes, the total number of possible outcomes (or elements in the sample space) is calculated as follows:
\[
\text{Number of elements in the sample space} = 2^N
\]
So, if you toss \( N \) coins, the number of elements in the sample space is \( 2^N \).