Answer:
The probability that the result is a multiple of 3 and a multiple of 4 is
⇒
Step-by-step explanation:
The spinner is numbered from 1 to 13.
When the spinner is spun once, the possible outcomes are
{1,2,3,4,5,6,7,8,9,10,11,12,13}
Desired outcome is a multiple of 3 and a multiple of 4. So, the number should be divisible by 3 as well as 4.
List of multiples under the possible outcomes:
3⇒ 3,6,9,12
4⇒ 4,8,12
We see that the least common multiple is 12 which is an outcome.
∴ Number of desired outcomes =1
Probability of desired outcome =
⇒