Calculating Lottery Odds: A Probability Challenge

Calculating Lottery Odds: A Probability Challenge

Assessment

Interactive Video

English

6th - 10th Grade

Hard

Created by

Ethan Morris

FREE Resource

This video tutorial explains how to calculate the odds of winning the lottery using two methods: combinations and probability theory. The instructor walks through each method step by step, using an example of picking six numbers from 49 balls. The video concludes with a summary and encouragement to engage with the content.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of people think the lottery is their best hope?

10%

20%

40%

30%

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is NOT mentioned for calculating lottery odds?

Probability theory

Graph theory

Combination theory

None of the above

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different balls are used in the example lottery?

55

50

49

45

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of N in the combination method?

43

720

6

49

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of 49 factorial divided by 6 factorial times 43 factorial?

49 times 48 times 47 times 46 times 45 times 44

49 times 48 times 47 times 46 times 45 times 44 times 43

49 times 48 times 47 times 46 times 45

49 times 48 times 47 times 46

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the total number of combinations for picking 6 numbers out of 49?

13,983,816

10,000,000

720

49,000,000

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In probability theory, what is the probability of picking the first green ball?

6 out of 49

1 out of 49

5 out of 48

4 out of 47

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