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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

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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

This problem has been solved

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