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Probability Puzzles and Gender Assumptions

Probability Puzzles and Gender Assumptions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video explores a probability puzzle involving two children, one of whom is a boy born on a Tuesday. The teacher simplifies the problem to a basic probability question, analyzes it using diagrams, and then revisits the original question with additional information. The final analysis reveals a counterintuitive probability of 13/27, demonstrating the power of careful mathematical thinking.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial probability puzzle about?

Two children, one of whom is a girl born on a Tuesday.

Two children, both of whom are boys.

Two children, one of whom is a boy born on a Tuesday.

Two children, one of whom is a girl born on a Monday.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What assumption is made about the gender of the children?

Children can only be boys.

Children can either be boys or girls.

Children can only be girls.

Children can be boys, girls, or non-binary.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the assumed probability of each child being a boy or a girl?

70% chance of being a boy, 30% chance of being a girl.

50% chance of being a boy, 50% chance of being a girl.

60% chance of being a boy, 40% chance of being a girl.

40% chance of being a boy, 60% chance of being a girl.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common but incorrect answer to the simpler version of the puzzle?

1/4

1/2

1/3

2/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the common answer to the simpler puzzle incorrect?

It doesn't consider the order of children.

It assumes both children are girls.

It assumes both children are boys.

It doesn't consider the day of birth.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many possibilities are there for the gender of two children, given one is a boy?

Three possibilities

Two possibilities

Four possibilities

One possibility

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability that both children are boys in the simpler puzzle?

1/4

2/3

1/2

1/3

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