Question

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
(i) an orange flavoured candy
(ii) a lemon flavoured candy

Answer 1

Let $E$ be the event of taking out a candy from bag.

Solution(i):

The bag contains only lemon flavored candies, and nothing else.

There are no orange flavored candies in the bag. Hence there is no possibility of taking out an orange candy.

Therefore, $the$ $probability$ $of$ $taking$ $out$ $an$ $orange$ $flavored$ $candy$ $=0$

Solution(ii):

The bag contains only lemon flavored candies, and nothing else.

Therefore $\text{(No.of favorable outcomes)}=\text{(Total no.of possible outcomes)}$

We know that, Probability of an event $E$, $P\left(E\right)$ $=\frac{\text{(No.of favorable outcomes)}}{\text{(Total no.of possible outcomes)}}$

$P\left(E\right)=1$

Therefore, $the$ $probability$ $of$ $taking$ $out$ $a$ $lemon$ $flavored$ $candy$ $=1$