AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the probability of not rolling a 5 on a standard number cube? Use the complement to find the probability.
A
1/6
B
5/6
C
1/4
D
4/5
Explanation: 

Detailed explanation-1: -What is the probability of rolling a number other than 5 on a number cube? There are six sides on a number cube, so the probability of rolling any single number is . Therefore, we can say: P ( 5 ) = 1 6 so P ( 5 ′ ) = 5 6 Therefore the probability of not rolling a 5 is .

Detailed explanation-2: -The probability that one rows a 5 on a standard six-sided cube is 16 since there is 1 number on the dice that has the number 5 out of a total of 6 possibilities. On a deck of 52 cards, there are four 5’s (for each suit). Thus, the probability is 452=113 . These events are independent.

Detailed explanation-3: -The probabilities of two complimentary events add up to 1. For example, rolling a 5 or greater and rolling a 4 or less on a die are complementary events, because a roll is 5 or greater if and only if it is not 4 or less.

Detailed explanation-4: -Summary: Using a six-sided die, the probability of rolling either a 5 or a 6 is 1/3.

There is 1 question to complete.