A bag contains 7 blue, 5 purple, 12 red and 6 orange marbles. Find the probability, if you draw one marble at random from the bag. Select the simplest form.
P(not blue)
23/30
To find the probability of not drawing a blue marble, we need to determine the number of marbles that are not blue and divide it by the total number of marbles in the bag.
First, let's find the total number of marbles in the bag:
Total marbles = 7 (blue) + 5 (purple) + 12 (red) + 6 (orange) = 30
The number of marbles that are not blue is:
Not blue = 5 (purple) + 12 (red) + 6 (orange) = 23
The probability of not drawing a blue marble is:
P(not blue) = Not blue / Total marbles
P(not blue) = 23 / 30
To express the probability in its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:
P(not blue) = 23 / 30
Therefore, the probability of not drawing a blue marble from the bag is 23/30, in its simplest form.