QUESTION IMAGE
Question
ch 12 how many elements contain in the sample space for the random phenomenon of flipping a coin and choosing a letter from the english alphabet?
○ 2
○ 2+26=28
○ 26
○ 2*26=52
Step1: Determine coin - flip outcomes
A coin flip has 2 outcomes (heads or tails).
Step2: Determine letter - choosing outcomes
There are 26 letters in the English alphabet.
Step3: Use multiplication principle
By the fundamental counting principle, for two independent events, the number of elements in the sample space is the product of the number of outcomes of each event. So the number of elements in the sample space is $2\times26$.
$2\times26 = 52$
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$2*26 = 52$ (D. $2*26=52$)