# 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 ,b>(i) an orange flavoured candy?(ii) a lemon flavoured candy?

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Given:

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag.

To do:

We have to find the probability that she takes out

(i) an orange flavoured candy

(ii) a lemon flavoured candy

Solution:

(i) Given that the bag contains lemon flavoured candies only.

This implies,

The number of orange candies in the bag $=0$

Total number of favourable outcomes $=0$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that she takes out an orange flavoured candy $=\frac{0}{Total\ number\ of\ possible\ outcomes}$

$=0$

The probability that she takes out an orange flavoured candy is $0$.

(ii) Given that the bag contains lemon flavoured candies only.

This implies,

Every time a candy is taken out it is definitely a lemon candy.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that she takes out a lemon flavoured candy $=1$

The probability that she takes out a lemon flavoured candy is $1$.

Updated on 10-Oct-2022 13:25:43