A bag contains $7$ marbles: $3$ black, $2$ white and $2$ red. If you put your hand in the bag and draw out one marble, then state the probability of getting a black marble, i.e $P (b l a c k)$ .

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Solution

Finding the probability of getting a black marble
The event here is drawing a black marble from the bag containing marbles.
There are a total of $7$ marbles in the bag that can be drawn.
So, the total number of outcomes is $7$ .
There are $3$ black marbles in the bag that can be drawn.
So, the number of favorable outcomes is $3$ .
The formula for probability is
$P r o b a b i l i t y = \frac{N u m b e r o f f a v o r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s}$
$\Rightarrow P (b l a c k) = \frac{3}{7}$
Hence, the probability of getting a black marble is $\frac{3}{7}$ .

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