Question

a dice is rolled find the probability of getting a prime number and not even number and factor of 4

Answer 1

Find the total number of possible outcomes:

A dice has 6 sides.

Total number of possible outcomes: = 6

Find the number of possible outcome that the number is a prime but not even or a factor of 4:

Total number of numbers that prime numbers = 2

(They are 3 and 5)

Find the probability of getting a prime number that is not even or a factor of 4:

P(prime but note even or factor of 4) = 2/6 = 1/3

Answer: The probability is 1/3

Answer 2

A dice has 6 sides

Number of possible outcomes = 6

Finding the probability of getting a prime number but not even and factor of 4 -

3 and 5 are the prime numbers that dice has

So , there are only 2 prime numbers

P(prime but not even and factor of 4) --

= 2/6 = 1/3 .

$\bold{The \: Probability \: = 1/3}$