Question

What is the probability of getting a number less than 2 OR a prime number upon rolling a six-sided die?

Answer 1

Explanation:

On a six-sided die, there is only one way to get a number less than 2, which is by rolling a 1. So the probability of getting a number less than 2 is:

P left parenthesis l e s s space t h a n space 2 right parenthesis equals 1 over 6

There are three primes numbers when rolling a six-sided die, which are {2, 3, 5}. So the probability of getting a prime number is:

P left parenthesis p r i m e right parenthesis equals 3 over 6

Since there is no overlap between these two events, the probability of getting a number less than 2 OR a prime number is:

P left parenthesis l e s s space t h a n space 2 space o r space p r i m e right parenthesis equals P left parenthesis l e s s space t h a n space 2 right parenthesis plus P left parenthesis p r i m e right parenthesis equals 1 over 6 plus 3 over 6 equals 4 over 6 equals 2 over 3

Answer is 2/3

Answer 2

1/18

Explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome/total outcome

Since a six-sided die is rolled, the total outcome will be the total number of possible siedes a die contain {1, 2, 3, 4, 5, 6} i.e 6 elements

If a number less than 2 is gotten, the expected outcome will be {1} i.e 1 element.

Probability of getting a number less than 2 = 1/6

If a prime number is gotten, the outcome will be the elements {2, 3, 5} i.e 3 elements.

The probability of getting a prime number = 3/6 = 1/2

The probability of getting a number less than 2 OR a prime number upon rolling a six-sided die will be 1/6*1/2 = 1/18