MATH SOLVE

9 months ago

Q:
# In a tombola there are 3 red balls, 2 light blue balls and 1 green ball. What is the probability of drawing a light blue ball or a red ball?

Accepted Solution

A:

STEP BY STEP SOLUTION:
To find the probability of drawing a light blue ball or a red ball, we'll add the probabilities of each event happening separately.
Probability of drawing a light blue ball:
There are 2 light blue balls out of a total of 6 balls. So, the probability is:
$$ \[P(\text{Light Blue}) = \frac{\text{Number of Light Blue Balls}}{\text{Total Number of Balls}} = \frac{2}{6} = \frac{1}{3}\] $$
Probability of drawing a red ball:
There are 3 red balls out of a total of 6 balls. So, the probability is:
$$ \[P(\text{Red}) = \frac{\text{Number of Red Balls}}{\text{Total Number of Balls}} = \frac{3}{6} = \frac{1}{2}\] $$
Now, since we want the probability of either event happening, we add the probabilities:
$$ \[P(\text{Light Blue or Red}) = P(\text{Light Blue}) + P(\text{Red}) = \frac{1}{3} + \frac{1}{2} = \frac{5}{6}\] $$
ANSWER:
The probability of drawing a light blue ball or a red ball is $$ \(\frac{5}{6}\) $$