Library User Password: CHAPTER 8 Counting Principles: Further Probability Topics

Question

Library User Password: CHAPTER 8 Counting Principles: Further Probability Topics 408 8.4 EXERCISES AF Bu Ma th ite th Suppose that a family has 5 children. Also, suppose that the probability of having a girl is 1/2. Find the probabilities that the family has the following children. 1. Exactly 2 girls and 3 boys 2. Exactly 3 girls and 2 boys 3. No girls 4. No boys 5. At least 4 girls 6. At least 3 boys 7. No more than 3 boys 8. No more than 4 girls 20 21 2: 2. A die is rolled 12 times. Find the probabilities of rolling the C following. 9. Exactly 12 ones 10. Exactly 6 ones 11. Exactly 1 one 12. Exactly 2 ones 13. No more than 3 ones

Explanation / Answer

1)for 2 girls and 3 boys possibility will be

ggbbb,bggbb,bbggb,bbbgg,gbgbb,gbbgb,gbbbg,bgbgb,bgbbg,bbgbg

so probability will be=1/2.1/2.1/2.1/2.1/2+1/32+...upto 10 times

p=10.(1/32)=5/16

11)for one time 1 possible cases will be 12

so 12*(1/6.5/6.5/6.5/6.5/6.5/6.5/6.5/6.5/6.5/6.5/6.5/6)

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