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Calculate the probability of finding four heads with the binomial probability formula on seven tosses of a coin.

A. .375
B..3125
C. other
D. required to calculate the complete probability distribution
E. 1/7 Reset Selection

User Jqualls
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1 Answer

5 votes

Final answer:

The probability of getting four heads with seven coin tosses can be calculated using the binomial probability formula.

Step-by-step explanation:

The probability of finding four heads with the binomial probability formula on seven tosses of a coin can be calculated using the combination formula. The formula is given by:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

  • P(X=k) is the probability of getting exactly k successes (in this case, 4 heads)
  • C(n, k) is the combination of n objects taken k at a time
  • p is the probability of getting a head on a single toss
  • n is the number of tosses

Using the formula and substituting the values, we get:

P(X=4) = C(7, 4) * 0.5^4 * (1-0.5)^(7-4)

Calculating this probability will give you the answer.

User John Cs
by
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