Answer:
Step-by-step 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
Answer:
Step-by-step 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
