Question

A bag contains 6 red ball's and 5 blue balls one ball is drawn of random from the bag what is the probability of getting a blue ball​

Answer 1

Answer:

Given:-

A bag contains 6 red ball's and 5 blue ball's one ball is drawn of random from the bag, what is the probability of getting a blue ball.

To Find:-

Probability of getting a blue ball.

Note:-

●》Probability = $\frac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ Number \ \ of \ \ outcomes}$

●》Here, Number of favourable outcomes is the bag contain balls for which ball we are finding, Total number of outcomes is total number of balls.

Solution:-

$\huge\red{First, calculating \ \ missing \ \ values}$

• Here, Number of favourable outcomes = 5 balls; Total number of outcomes = ?

☆ According to note second point~

▪︎$Total \ \ number \ \ of \ \ outcomes = Total \ \ number \ \ of \ \ balls ( red + blue \ \ balls )$

▪︎$Total \ \ number \ \ of \ \ outcomes = 5 + 6 \ \ balls$

▪︎$Total \ \ number \ \ of \ \ outcomes = 11 \ \ balls$

$\huge\green{Total \ \ number \ \ of \ \ outcomes = 11 \ \ balls}$

______________________________________________

$\huge\red{ Now, we \ \ will \ \ calculate \ \ Probability }$

• Number of favourable outcomes = 5 balls, Total number of outcomes = 11 balls, Probability = ?

☆ According to note first point~

▪︎$Probability = \frac{Number \ \ of \ \ favourable \ \ outcomes}{Total \ \ number \ \ of \ \ outcomes}$

▪︎$Probability = \frac{5 \ \ balls}{11 \ \ balls}$

☆ Here, calculations can't be done so simply leave it and balls-balls will be canceled~

▪︎$Probability = \frac{5}{11}$

$\huge\green{Probability = \frac{5}{11}}$

Answer:-

Hence, the Probability of getting blue ball is = $\frac{5}{11}$.

:)