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15 February, 22:22

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.

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  1. 15 February, 22:46
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    False

    Step-by-step 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.
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