AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Roll a die one time. Find P(a number less than 7).
A
0
B
1
C
7/6
D
1/6
Explanation: 

Detailed explanation-1: -Answer: When a die is thrown, the probability of getting a number less than 7 is 1. Let us assume that 1, 2, 3, 4, 5 and 6 are the possible outcomes when the die is thrown.

Detailed explanation-2: -Expert-verified answer Total outcomes when a die is thrown are 1, 2, 3, 4, 5, 6 example 6 in number. All are less then 7. Probability (getting a number less then 7). Hence, the answer is 1.

Detailed explanation-3: -Possible outcomes on a single roll of a die are 1, 2, 3, 4, 5 and 6. Therefore, the chance of getting a 7 (favourable outcome) on rolling the die once is 0. Thus, the probability of the event is 0 or it is an impossible event.

Detailed explanation-4: -Given that a fair die is rolled. We know there are six numbers in a fair die. Hence, P(values less than 5) = 4/6 = 2/3. To find the complement of rolling a number less than 5, we use the formula P’ = 1-P, where P’ is the complement of P.

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