Question

You roll a six-sided dice.Event A: Roll a 6. Event B: Roll a prime number. Find P(A or B) . Express your answer as a fraction in simplest form.

Answer 1

The probability of rolling a 6 is:

`P(A)=(1)/(6)`

There are 3 prime numbers between 1 and 6: 2, 3 and 5. Therefore, the probability of rolling a prime number is:

`P(B)=(1)/(3)`

Therefore, the probability of rolling a 6 or a prime number is:

`P(AorB)=(1)/(6)+(1)/(3)=(1)/(2)`