A glass jar contains 15 red,13 green,4 black,9 orange,11 yellow and 12 blue marbles

A)If I choose one marble at random from the jar,what is the probability that it is:
i) blue?
ii) black?
iii) not black?

blue

ooops! sorry i answered wrong

There are 64 marbles in all, so

P(blue) = 12/64
and so on

To find the probability of each event, we need to calculate the ratio of the number of favorable outcomes to the total number of possible outcomes.

Total Number of Marbles in the Jar: 15 (red) + 13 (green) + 4 (black) + 9 (orange) + 11 (yellow) + 12 (blue) = 64 marbles

i) Probability of picking a blue marble:
Number of Blue Marbles = 12
P(blue) = Number of Blue Marbles / Total Number of Marbles = 12 / 64 = 3 / 16

ii) Probability of picking a black marble:
Number of Black Marbles = 4
P(black) = Number of Black Marbles / Total Number of Marbles = 4 / 64 = 1 / 16

iii) Probability of not picking a black marble:
Number of Non-black Marbles = Total Number of Marbles - Number of Black Marbles = 64 - 4 = 60
P(not black) = Number of Non-black Marbles / Total Number of Marbles = 60 / 64 = 15 / 16

Therefore, the probabilities are:
i) P(blue) = 3 / 16
ii) P(black) = 1 / 16
iii) P(not black) = 15 / 16