AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Find the probability of not rolling a 2 on a single die.
A
1/6
B
2/6
C
5/6
D
2
Explanation: 

Detailed explanation-1: -If the die is fair (and we will assume that all of them are), then each of these outcomes is equally likely. Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

Detailed explanation-2: -Suppose you roll a die, there are six possible outcomes. They are 1, 2, 3, 4, 5, and 6. The probability of getting 1 on die is P(1) = 1/6. Similarly, the probability of getting 2, 3, 4, 5, and 6 is also 1/6.

Detailed explanation-3: -What is the probability of not rolling factors of 2 on both dice? It is 1/4 or 25%. Each die has numbers 1–6.

Detailed explanation-4: -The probability of a fair six-sided die not rolling a 6 is 5/6. If you throw 5 such die, the probability of all coming up not 6 is (5 / 6) to the 5th power. So, the probability of at least one 6 is 1-((5 / 6) ** 5) = about 0.598.

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