Cards bearing numbers 1,3,5,7, ……….., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing an odd number.

# Cards bearing numbers 1,3,5,7, ..........., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing an odd number.

1. A
1
2. B

3. C

4. D

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### Solution:

Given that cards bearing numbers 1,3,5,7, ..........., 35 are kept in a bag.
We have to find the probability that when a card is drawn, it is bearing an odd number.
Probability of an event E is defined as:
$P\left(E\right)=\frac{\mathit{Number of favorable outcomes}}{\mathit{Total number of possible outcomes}}$
Since the cards are bearing numbers 1,3,5,7 ..........., 35, therefore, the sample space are,
{1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35}.
The total number of possible outcomes is 18.
Cards bearing odd numbers are:

Hence, the number of favorable outcomes is 18.
Let   be the event of getting a card bearing an odd number.
Now, the probability of getting a card bearing an odd number is:

The probability of getting a card bearing an odd number is 1.
Therefore, option 1 is correct.

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