
Understanding the Birthday Paradox

Interactive Video
•
Mathematics, Science
•
7th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the probability that two people in a group of 23 share the same birthday?
50.73%
23%
75%
99.9%
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which mathematical field is used to calculate the likelihood of combinations in the birthday problem?
Geometry
Calculus
Combinatorics
Algebra
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the probability of no shared birthdays in a group?
By adding the probabilities of shared birthdays
By subtracting the probability of no match from 100%
By multiplying the probabilities of shared birthdays
By dividing the probability of a match by 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the probability that no one in a group of 23 people shares a birthday?
0.365
0.997
0.253
0.4927
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many possible pairs are there in a group of 23 people?
45
253
120
70
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the number of possible pairs grow rapidly as the group size increases?
Because it is proportional to the square of the group size
Because it is proportional to the group size
Because it is proportional to the factorial of the group size
Because it is proportional to the cube of the group size
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the probability that two people in a group of 70 share the same birthday?
99.9%
50%
23%
75%
Tags
CCSS.HSS.CP.A.5
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