Question

Determine whether the statement is true or false. Justify your answer.

Rolling a number less than 3 on a normal six-sided die has a probability of 1/3. The complement of this event is to roll a number greater than 3, and its probability is 1/2.

Answer 1

False

Explanation:

The likelihood of an event happening added to its compliment's likelihood must equal 1. The compliment of rolling a number less than 3 on a normal six-sided die is rolling a 3 or more on a normal six-sided die. The probability of rolling 3 or more is 4/6 or 2/3. Adding 1/3 to 2/3 gives us 1 or 100%, thus those events complement each other.