If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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If you used a random number generator for the numbers from 1 through 20 to play a game, what
is the theoretical probability of getting each of these outcomes?

a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7) 
b. P(even or odd)

c. P(prime or 1)

d. How did you find the probabilities of these events?

1:51 PM Thu Feb 11
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5-39. If you used a random number generator for the numbers from 1 through 20 to play a game, what
is the theoretical probability of getting each of these outcomes? Homework Help
a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)
b. P(even or odd)
c. P(prime or 1)
d. How did you find the probabilities of these events? Be ready to share your ideas with the class.
1
3
TI.
n fell i. T.
Transcribed Image Text:1:51 PM Thu Feb 11 VPN 1 44% + : 0 5-39. If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes? Homework Help a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7) b. P(even or odd) c. P(prime or 1) d. How did you find the probabilities of these events? Be ready to share your ideas with the class. 1 3 TI. n fell i. T.
Expert Solution
Step 1

Given data:

The total numbers are n(S)=20.

(a)

The events which are either multiple of 3 or 7 are,

A=3, 6, 7, 9, 12, 14, 15, 18

The numbers of the events which are either multiple of 3 or 7 are,

n(A)=8

The expression for the probability of the events which are either multiple of 3 or 7 is,

PA=nAnS

Substitute the given values in the above expression.

PA=820=0.4

 

Thus, the probability of the events which are either multiple of 3 or 7 is 0.4.

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