Question

What is the probability of getting an even prime number when a dice is thrown

Answer 1

Answer:

probability of getting an even prime number = 1/2

Step-by-step explanation:

The formula for probability of an event is the number of favourable outcomes divided by the total number of possible outcomes.

the sample space contains all the possible outcomes, whether they are favourable or not

The sample space for this event is {1, 2, 3, 4, 5, 6}

the favourable outcome is getting a prime number.

prime numbers: {2, 3, 5}

the number of favourable outcomes where we get a prime number is 3 and the total number of possible outcomes i.e. the number of elements in the sample space is 6.

So, the probability of getting a prime number is:

P(prime)=no.ofprime numbers/ total number of outcomes=3 / 6 = 1/2