# 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?

Question
Probability
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?

2021-01-25
a:
Game:1
number of multiples of 3 or 7 from 1 to 20
total numbers =20
p(multiples of 3 or 7)=$$(no of multiples of 3 or 7)/(total numbers)$$
$$=8/20$$
$$=2/5$$
b:
Game 1
Number of even or odd numbers=20
total numbers=20
p(even or odd)=$$(number of even or odd)/(total numbers)$$
$$=20/20$$
=1
c:
no. of prime numbers and 1
total numbers=20
p(prime or 1)=$$(number of prime numbers or 1)/(total numbers)$$
$$=9/20$$
d:
probability could be found by general probability which says
p(event)=$$(no.of times event occur)/(total no. of events)$$
$$=20/20$$
=1
Result:
a: $$2/5$$
b: 1
c: $$9/20$$

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