Question

There are two spinners. Each spinner has 10 equal sectors labeled with the numbers 1 through 10.

How many outcomes show a prime number on the first spinner and a composite number on the second spinner?




9

20

25

100

Answer 1

Answer: Second option is correct.

Explanation:

Since we have two spinners,

Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.

Primes numbers from 1 to 10 is given by

`\{2,3,5,7\}`

So, number of outcomes shows a primes number from 1 to 10 = 4

Similarly ,

Composite numbers from 1 to 10 is given by

`\{4,6,8,9,10\}`

So, number of outcomes shows a composite number from 1 to 10 =5

∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by

`4* 5=20\\`

Thus, Second option is correct.