A bag contains 24 green marbles, 22 blue marbles, 14 yellow marbles, and 12 red marbles. Suppose you pick one marble at random. What is each probability?
A. P(yellow) B. P( not blue) C. P( green or red)
Tip: High School Math
24+22+14+12 = 72 marbles
yellow = 14/72 = .1944.... or about 19.4 %
do the others the same way
How did he get 1944 19.4%
To find the probabilities, we need to divide the number of favorable outcomes by the total number of possible outcomes.
A. P(yellow)
The number of favorable outcomes (yellow marbles) is 14, and the total number of possible outcomes (all marbles) is 24 + 22 + 14 + 12 = 72.
So, the probability of picking a yellow marble is 14/72.
B. P(not blue)
The number of favorable outcomes (not blue marbles) is 24 (green marbles) + 14 (yellow marbles) + 12 (red marbles) = 50.
The total number of possible outcomes (all marbles) is still 72.
So, the probability of picking a marble that is not blue is 50/72.
C. P(green or red)
The number of favorable outcomes (green or red marbles) is 24 (green marbles) + 12 (red marbles) = 36.
The total number of possible outcomes (all marbles) is 72 (same as before).
So, the probability of picking either a green or a red marble is 36/72 or 1/2.
Therefore, the probabilities are:
A. P(yellow) = 14/72
B. P(not blue) = 50/72
C. P(green or red) = 36/72 or 1/2.
To find the probability of selecting a particular marble color from the bag, we need to divide the number of marbles of that color by the total number of marbles in the bag.
A. P(yellow):
There are 14 yellow marbles in the bag.
Total number of marbles in the bag is 24 + 22 + 14 + 12 = 72.
So, P(yellow) = 14/72 = 7/36.
B. P(not blue):
We want to find the probability of selecting a marble that is not blue. To do this, we need to subtract the probability of selecting a blue marble from 1.
Number of blue marbles = 22.
Total number of marbles in the bag = 72.
P(not blue) = 1 - P(blue)
P(blue) = 22/72 = 11/36
P(not blue) = 1 - 11/36 = 25/36.
C. P(green or red):
We want to find the probability of selecting a green or red marble. This means we add the probabilities of selecting a green marble and a red marble.
Number of green marbles = 24.
Number of red marbles = 12.
Total number of marbles in the bag = 72.
P(green or red) = P(green) + P(red)
P(green) = 24/72 = 1/3
P(red) = 12/72 = 1/6
P(green or red) = 1/3 + 1/6 = 1/2.