For each of the following four statements, indicate whether it is possible or not according to probability theory. Explain your
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Answer:
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Step-by-step explanation:
Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.
To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?
Solution :
First we find probability one by one,
1) Flips a coin - Head, Tail
Total number of outcome = 2
Favorable outcome (getting a tail) = 1
Probability that the coin will show tails is
2) Spins the spinner - yellow, green, blue
Total number of outcome = 3
Favorable outcome (land on yellow or green) = 2
Probability that the spinner will land on yellow or green
3) Rolls a standard number cube - 1,2,3,4,5,6
Total number of outcome = 6
Favorable outcome (show a three) = 1
Probability that the cube will show a three
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is