Question

There are $2$ bags A and B. Bag A contain $6$ red flowers and $3$ pink flowers where as bag B contains $2$ red flowers and $7$ pink flowers. One flower is chosen from the bag randomly. What is the probability that the flower chosen is pink?

Answer 1

Find the probability that the flower chosen is pink :

1. Probability is a measure of the likelihood of an event to occur.
2. The probability of all the events in a sample space adds up to $1$.

Bag A

Number of Red flowers in Bag A is $6$

Pink flowers in Bag A is $3$

Bag B

Number of Red flowers in Bag B is $2$

Number of Pink flowers in Bag B is $7$

Total flowers in both bags is $6+3+2+7=18$

Total number of pink flowers is $3+7=10$

The probability that the flower chosen is pink :

$\begin{array}{rcl}P\left(\mathrm{Pink}\right)& =& \frac{\text{No. of pink flowers}}{\text{Total no. of flowers}}\\ & =& \frac{\text{10}}{8}\\ & =& \frac{5}{4}\end{array}$

Hence, The probability that the flower chosen is pink is $\frac{5}{4}$.