The probability values for the events given are : 0.3438 and 0.891 respectively.
Using the binomial probability formula:
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- probability of success , p = 0.5
- number of trials, n = 6
1.)
P(at least 4 girls) = P(X = 4 ) + ... + P(X = 6)
P(atleast 4 girls) = 0.3438
2.)
P(at most 4 girls ) = P(X = 0) + ... + P(X = 4)
P(at most 4 girls) = 0.891