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 coins
Outcome
4 heads
3 heads
2 heads
1 head
no heads
Probability
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 add up to 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.
So, x = 1 - (0.0625 + 0.375 + 0.25 + 0.0635) = 0.25
Therefore, the completed probability model is:
- 4 heads: 0.0625
- 3 heads: 0.25
- 2 heads: 0.375
- 1 head: 0.25
- No heads: 0.0635
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