# Question: Remember that the probability that a birth results in a

Remember that the probability that a birth results in a boy is about .51. You offer a bet to an unsuspecting friend. Each day you will call the local hospital and find out how many boys and how many girls were born the previous day. For each girl, you will give your friend $ 1 and for each boy your friend will give you $ 1.

a. Suppose that on a given day there are three births. What is the probability that you lose $ 3 on that day? What is the probability that your friend loses $ 3?

b. Notice that your net profit is $ 1 if a boy is born and –$ 1 if a girl is born. What is the expected value of your profit for each birth?

c. Using your answer in part (b), how much can you expect to make after 1000 births?

a. Suppose that on a given day there are three births. What is the probability that you lose $ 3 on that day? What is the probability that your friend loses $ 3?

b. Notice that your net profit is $ 1 if a boy is born and –$ 1 if a girl is born. What is the expected value of your profit for each birth?

c. Using your answer in part (b), how much can you expect to make after 1000 births?

**View Solution:**## Answer to relevant Questions

In the “3 Spot” version of the former California Keno lottery game, the player picked three numbers from 1 to 40. Ten possible winning numbers were then randomly selected. It cost $ 1 to play. The accompanying table ...Suppose your are able to obtain a list of the names of everyone in your school and you want to determine the probability that someone randomly selected from your school has the same first name as you. a. Assuming you had the ...Suppose you wanted to simulate the birthdays (month and day, not year) of the five children in one family. For each child, you tell the computer to choose a number from 1 to 366. This covers all possibilities including ...Three males and three females are given 5 minutes to memorize a list of 25 words, and then asked to recall as many of them as possible. The three males recalled 10, 12, and 14 of the words, for an average of 12 words; the ...Simulate the situation described in Thought Questions 3, 4, and 5. Assume that the probability of a boy for each birth is 0.51 and the probability of a girl is 0.49. Simulate at least 100 families with four children. Find ...Post your question