Cards bearing numbers 1, 3, 5,............................., 35 are kept in a beg. A card is drawn at random from the bag. find the probability of getting a card bearing.

i. A prime number less than 15.
ii. A number divisible by 3 and 5.

Given: Cards bearing numbers 1, 3, 5, …………….. , 35.

To do: To find out the probability of getting a card to be drawn bearing a prime number less than 15.

And to find out the probability of getting a card to be drawn bearing a number divisible by 3 and 5.

Solution:
$( i)$. Here we have 35 total possible outcomes when a card is drawn.

There are total 6 prime numbers from 1 to 15.

Possibility of a prime numbered card to be drawn
$=\frac{no.\ of\ favourble\ outcomes}{no.\ of\ total\ outcomes}$

$=\frac{6}{35}$

$( ii)$. There are only 2 numbers between 1 to 35 divisible by 3 and 5.

Then possibility of a card to be drawn with a number divisible by 3 and 5
$=\frac{no.\ of\ favourble\ outcomes}{no.\ of\ total\ outcomes}$

$=\frac{2}{35}$
 

Updated on: 10-Oct-2022

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