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What is the probability of rolling a 20-sided number cube to a number that is prime or a multiple of 3?

Sagot :

janmilczek

Answer:

Probability of rolling a prime or multiple of 3 = 13/20

Probability of rolling a prime = 2/5

Probability of rolling a multiple of 3 = 3/10

Step-by-step explanation:

let's list primes and multiples of 3 from 1 to 20

Primes:

2 3 5 7 11 13 17 19

Multiples of 3:

3 6 9 12 15 18

Primes OR multiples of 3

2 3 5 6 7 9 11 12 13 15 17 18 19

There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20

Probability of rolling a multiple of 3 is 6/20 = 3/10

Probability of rolling a prime is 8/20 = 2/5

Answer:

0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Here are the multiples of 3 (that are 20 or below) :

  • 3
  • 6
  • 9
  • 12
  • 15
  • 18

Here are the prime numbers (that are 20 or below):

  • 2
  • 3
  • 5
  • 7
  • 11
  • 13
  • 17
  • 19

Some numbers are repeated in the two lists.

Here are all the numbers:

  • 2
  • 3
  • 5
  • 6
  • 7
  • 9
  • 11
  • 12
  • 13
  • 15
  • 18
  • 19

12 numbers are prime or a multiple of 3.

As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]

As a decimal it will be 0.6

I hope it helped!

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