A box contains 5 red marbels, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be red?
Given:
A box contains 5 red marbels, 8 white marbles and 4 green marbles. One marble is taken out of the box at random.
To do:
We have to find the probability that the marble taken out will be red.
Solution:
Number of red marbles $=5$
Number of white marbles $=8$
Number of green marbles $=4$
Total number of marbles $=5+8+4=17$
This implies,
The total number of possible outcomes $n=17$.
Total number of favourable outcomes(taking out a red marble) $=5$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that the marble taken out will be red $=\frac{5}{17}$
The probability that the marble taken out will be red is $\frac{5}{17}$.
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