AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If a 6 SIDED 1-6 die is rolled once, what is the probability of getting an even number?
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B
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D
Explanation: 

Detailed explanation-1: -If I roll one 6 sided die, the chances of getting one number, say 6, is 1/6 or 16.6%. If I roll 2 dice simultaneously, then the probability of rolling that number twice is 1/36 or 2.7%(1/6×1/6).

Detailed explanation-2: -Then the probability of an event is the number of outcomes in the event divided by the number of possible, equally likely outcomes. For example, the probability of rolling an even number on a 6-sided die is 3/6 = 1/2.

Detailed explanation-3: -Probability of getting 1 three times in a row = (1/6) × (1/6) × (1/6) = 1/216. Hence, the probability of getting 1 three times in a row is 0.463%.

Detailed explanation-4: -Each of the dice rolls is an Independent Event, that is the outcome from anyone dice roll has no impact whatsoever on the outcome of any other dice roll. The probability of all three happening is the product of the three probabilities: 1 × (1/6) × (1/6) = 1/36.

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