# 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 o

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?
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okomgcae

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