Question

. 50 cards numbered from 1 to 50 are kept face down on a table. What is the chance of drawing out a card
which is a multiple of 3?

Answer 1

Answer:

no which is multiple of 3 between 1 to 50 is :-

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48

probability = 16/50 = 8/25

Answer 2

Answer:

$\red\bigstar \sf Probability \; of \; getting \; a \; multiple \; of \; three \; when \; a \; card\; is \;drawn\; from \;cards \; numbered 1 \; to \; 50= \dfrac{8}{25 } }}$

SOLUTION

$\boxed{\boxed{\sf Probability \; of \: an \;event = \frac{Number \; of \;favorable \: outcomes}{Total\:number \: of \:outcomes } }}$

Here,

∵ It is said that there are 50 cards , Total number of outcomes = 50.

Here , We have to find the probability of getting a multiple of 3 when a card is drawn from cards numbered from 1 to 50.

Multiples of 3 between 1 to 50 are :-

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45 and 48.

∴ Number of favorable outcomes = 16

So,

$\sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{Number \; of \;favorable \: outcomes}{Total\:number \: of \:outcomes } }}$

$\implies \sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{16}{50 } }}$

$\implies \sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{8}{25 } }}$