Find the probability of at least 2 girls in 5 births. assume that male and female births are equally likely and that the births are independent events.

round your answer to four decimal places.

Question

Athena Hill

Mathematics

15 July, 04:08

Find the probability of at least 2 girls in 5 births. assume that male and female births are equally likely and that the births are independent events.

round your answer to four decimal places.

+2

Answers (1)

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Brianna Todd · Answer 1

Probability of at-least 2 girls = Probability of 2 girls + Probability of 3 girls + Probability of 4 girls + Probability of 5 girls = 1 - (Probability of no girl + probability of 1 girl)

We know:

probability when no girl = 5C0 * (1/2) ^0 * (1/2) ^5 = 0.03125

probability when one girl = 5C1 * (1/2) ^1 * (1/2) ^4 = 0.15625

probability when at least 2 girls = 1 - (0.03125 + 0.15625)

= 0.8125 (approx)

Find the probability of at least 2 girls in 5 births. assume that male and female births are equally likely and that the births are independent events.round your answer to four decimal places.

Find the probability of at least 2 girls in 5 births. assume that male and female births are equally likely and that the births are independent events.

round your answer to four decimal places.