AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
An experiment has 2828 possible​ outcomes, all equally likely. An event can occur in 7 ways. Find the probability that the event occurs.
A
B
C
0
D
1
Explanation: 

Detailed explanation-1: -To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space.

Detailed explanation-2: -The sample space is the set of all possible outcomes. Outcomes are equally likely to occur if they have the same probability of occurring. This means that the event is fair.

Detailed explanation-3: -P(A)=n∑i=1P(ai)=n∑i=11N=1N+⋯+1N=n(1N)=nN. Thus, the probability of an event in S is equal to the number of outcomes in the event divided by the total number of outcomes in S.

Detailed explanation-4: -If outcomes are equally likely, then the probability of an event occurring is the number in the event divided by the number in the sample space. The probability of rolling a six on a single roll of a die is 1/6 because there is only 1 way to roll a six out of 6 ways it could be rolled.

There is 1 question to complete.