Use a tree diagram to complete the probability model for flipping 4 coinsOutcome 4 heads 3 heads 2 heads 1 head no headsProbability 0.0625 x 0.375 0.25 0.0635
Question
Use a tree diagram to complete the probability model for flipping 4 coinsOutcome 4 heads 3 heads 2 heads 1 head no headsProbability 0.0625 x 0.375 0.25 0.0635
Solution
The probability model for flipping 4 coins can be completed using a tree diagram. The total probability for all outcomes must equal 1.
Given:
- Probability of 4 heads = 0.0625
- Probability of 2 heads = 0.375
- Probability of 1 head = 0.25
- Probability of no heads = 0.0635
We can calculate the probability of 3 heads (x) by subtracting the sum of the given probabilities from 1:
x = 1 - (0.0625 + 0.375 + 0.25 + 0.0635) x = 1 - 0.751 x = 0.249
So, the probability of getting 3 heads when flipping 4 coins is 0.249.
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