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A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be a blue card.
Given:
A box contains 100 red cards, 200 yellow cards and 50 blue cards.
A card is drawn at random from the box.
To do:
We have to find the probability that it will be a blue card.
Solution:
Number of red cards $=100$
Number of yellow cards $=200$
Number of blue cards $=50$
This implies,
The total number of cards $=100+200+50=350$
The total number of possible outcomes $n=350$.
Total number of favourable outcomes $=50$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that it will be a blue card $=\frac{50}{350}$
$=\frac{1}{7}$
The probability that it will be a blue card is $\frac{1}{7}$.
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