Katie has 8 black marbles, 12 clear marbles, and 14 blue marbles in a bag. If she picks one at random, what is the probability that she will pick a black marble?

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Answer 1 · 2018-07-02T09:37:53

$\frac{4}{17} \approx 0.2352941176$ $color(blue)(4/17~~0.2352941176)$

Probability is defined as the ratio of favourable outcomes to all possible outcomes.

$\frac{favourable outcomes}{all possible outcomes}$ $"favourable outcomes"/"all possible outcomes"$

In this problem the favourable outcomes are the black marbles. All possible outcomes are the total number of marbles.

Total number of marbles:

$8 + 12 + 14 = 34$ $8+12+14=34$

Favourable outcomes are all black marbles .i.e. 8

Probability is:

$\frac{8}{34} = \frac{4}{17} \approx 0.2352941176$ $8/34=4/17~~0.2352941176$