AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A bag contains two red marbles, three blue marbles, and four greenmarbles. What is the sample space of the marble bag?
A
red, blue, green
B
2, 3, 4
C
2 red, 3 blue, 4 green
D
red, red, blue, blue, blue, green, green, green, green States that if event x can occur in x ways and event y can occur in y ways, then x followed by y can occur in x×y ways. Or in other words, to find the total outcomes possible you take the total outcome from the first event and you multiply it by the total outcome of the second event.
Explanation: 

Detailed explanation-1: -The probability of picking a red marble is 4/12. The probability of picking a green marble is 1/11, since I’m assuming that the marbles are not replaced. You multiply since you want both of these occuring. 1/3 times 1/11 equals 1/33.

Detailed explanation-2: -There are 35 marbles in all (10 red + 8 blue + 10 yellow + 7 pink = 35). Therefore the probability of drawing a red or blue marble is 18/35.

Detailed explanation-3: -In this question, we’re interested in the green marbles, of which there are eight in the bag. There are 25 marbles in total as nine plus five plus three plus eight is equal to 25. This means that the probability of selecting a green marble is eight out of 25 or eight twenty-fifths.

Detailed explanation-4: -The probability of getting a blue marble is 1/6 and the probability of green is 5/21.

There is 1 question to complete.