Example 4 – Random Babies: One night, four mothers, named Heart, Spade, Club and Diamond, gave
birth to four baby boys. Each mother names her son alliteratively: Hugh Heart, Sam Spade, Chris Club and
Danny Diamond. As a very sick joke, the hospital staff decides to return the babies to their mothers
completely at random.
Since we could and would never do such a experiment, if we want to answer questions about this
experiment, such as “How often will at least one mother get the right baby?” or “How often might all
mothers get the correct baby?”, we need to simulate the experiment and repeat the simulation over an
over again.
The simulation:
Take the four cards provided and one sheet of scratch paper. Write the names of the mothers on the
four corners of the scratch paper. Shuffle the four cards well, and then deal them out randomly (that is
to say, not always in the same order) and face down to the four corners of the sheet. Finally, turn the
cards over to reveal which baby has been given to which mother. Repeat this experiment 10 times and
record the requested information in the table.

For your data, compute the experimental probability of a Mama Heart Match and getting them 0, 1,
2, 3 or 4 matches.

Next, come up to the front of the room and add your data about a Mama Heart Match and getting 0, 1,
2, 3 or 4 matches. Keep these data with you or in your class folder. We will use it again later.

Example 5 – Bag A or Bag B: We’ll return to this example later. For now, skip it.
Example 6 – Selection of a Student Committee: In a Future Teacher’s Club, 80% of the members are
female and 20% are male. An oversight committee with 12 members is selected from the membership at
random using their membership number.

We won’t work with this one experimentally at this time. But if your group is ahead, come up with a
strategy for simulating this experiment.

Task 3: (Class Discussion)
Repetition # 1 2 3 4 5 6 7 8 9 10
Mama Heart Match?
(yes or no)

Number of matches?
Repetition # 11 12 13 14 15 16 17 18 19 20
Mama Heart Match?
(yes or no)

Number of matches?

4

What is the true probability of an event?

Can we ever know the true probability of an event? Why or why not?

How is empirical probability related to informal probability?

How is empirical probability related to the true probability?

Transcribed Image Text:Example 4 - Random Babies: One night, four mothers, named Heart, Spade, Club and Diamond, gave birth to four baby boys. Each mother names her son alliteratively: Hugh Heart, Sam Spade, Chris Club and Danny Diamond. As a very sick joke, the hospital staff decides to return the babies to their mothers completely at random. Since we could and would never do such a experiment, if we want to answer questions about this experiment, such as "How often will at least one mother get the right baby?" or "How often might all mothers get the correct baby?", we need to simulate the experiment and repeat the simulation over an over again. The simulation: Take the four cards provided and one sheet of scratch paper. Write the names of the mothers on the four corners of the scratch paper. Shuffle the four cards well, and then deal them out randomly (that is to say, nat always in the same order) and face down to the four corners of the sheet. Finally, turn the cards over to reveal which baby has been given to which mother. Repeat this experiment 10 times and record the requested information in the table. Repetition # 2 4 5 6 7 8 6. Mama Heart Match? (yes or no) Number of matches? Repetition # 11 12 13 14 15 16 17 18 19 20 Mama Heart Match? (yes or no) Number of matches? J IMG-2630.jpg 10 3.

Question

Example 4 – Random Babies: One night, four mothers, named Heart, Spade, Club and Diamond, gave
birth to four baby boys. Each mother names her son alliteratively: Hugh Heart, Sam Spade, Chris Club and
Danny Diamond. As a very sick joke, the hospital staff decides to return the babies to their mothers
completely at random.
Since we could and would never do such a experiment, if we want to answer questions about this
experiment, such as “How often will at least one mother get the right baby?” or “How often might all
mothers get the correct baby?”, we need to simulate the experiment and repeat the simulation over an
over again.
The simulation:
Take the four cards provided and one sheet of scratch paper. Write the names of the mothers on the
four corners of the scratch paper. Shuffle the four cards well, and then deal them out randomly (that is
to say, not always in the same order) and face down to the four corners of the sheet. Finally, turn the
cards over to reveal which baby has been given to which mother. Repeat this experiment 10 times and
record the requested information in the table.

For your data, compute the experimental probability of a Mama Heart Match and getting them 0, 1,
2, 3 or 4 matches.

Next, come up to the front of the room and add your data about a Mama Heart Match and getting 0, 1,
2, 3 or 4 matches. Keep these data with you or in your class folder. We will use it again later.

Example 5 – Bag A or Bag B: We’ll return to this example later. For now, skip it.
Example 6 – Selection of a Student Committee: In a Future Teacher’s Club, 80% of the members are
female and 20% are male. An oversight committee with 12 members is selected from the membership at
random using their membership number.

We won’t work with this one experimentally at this time. But if your group is ahead, come up with a
strategy for simulating this experiment.

Task 3: (Class Discussion)
Repetition # 1 2 3 4 5 6 7 8 9 10
Mama Heart Match?
(yes or no)

Number of matches?
Repetition # 11 12 13 14 15 16 17 18 19 20
Mama Heart Match?
(yes or no)

Number of matches?

4

What is the true probability of an event?

Can we ever know the true probability of an event? Why or why not?

How is empirical probability related to informal probability?

How is empirical probability related to the true probability?

Accepted Answer

Given information:
4)
One night, four mothers, named Heart, Spade, Club and Diamond, gave birth to…