A bag contain 9 red, 8 yellow, 5 pink and 6 blue marbles. The experiment is to randomly select on marble out of the bag. What is the probability that chosen marble is a)blue? b)yellow? c) red or pink d)green or blue? need to know what all are
Use common sense.
For each color, to get the probability of that color, divide the number of marbles with that color by the sum of all marbles (28).
for example:
P(blue) = 6/28 = 3/14
To find the probabilities, we need to calculate the ratio of the desired outcomes to the total number of possible outcomes.
a) Probability of choosing a blue marble:
There are a total of 9 + 8 + 5 + 6 = 28 marbles in the bag. Out of these, there are 6 blue marbles. Therefore, the probability of choosing a blue marble is 6/28, which can be simplified to 3/14.
b) Probability of choosing a yellow marble:
There are 8 yellow marbles in the bag, so the probability of choosing a yellow marble is 8/28, which can be simplified to 2/7.
c) Probability of choosing a red or pink marble:
There are a total of 9 red and 5 pink marbles in the bag. So, the probability of selecting either a red or pink marble is (9 + 5)/28, which simplifies to 14/28 and further reduces to 1/2.
d) Probability of choosing a green or blue marble:
Since there are no green marbles mentioned in the given information, we can assume they are not part of the experiment. Therefore, the probability of selecting either a green or blue marble is the same as the probability of selecting a blue marble, which we calculated in part a), making it 3/14.
Please keep in mind that these calculations assume that each marble has an equal chance of being selected, and that the selection of one marble does not affect the probabilities of selecting others.