. 50 cards numbered from 1 to 50 are kept face down on a table. What i

1.	. 50 cards numbered from 1 to 50 are kept face down on a table. What is the chance of drawing out a cardwhich is a multiple of 3?
Answer» Answer: $\red\bigstar \sf Probability \; of \; getting \; a \; multiple \; of \; three \; when \; a \; card\; is \;drawn\; from \;cards \; <klux>NUMBERED</klux> <klux>1</klux> \; to \; 50= \dfrac{8}{25 } }}$ 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, $\sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{Number \; of \;favorable \: outcomes}{Total\:number \: of \:outcomes } }}$ $\implies \sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{16}{50 } }}$ $\implies \sf Probability \; of \: getting \; a \; multiple \; of \; three = \dfrac{8}{25 } }}$

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

Answer»

Answer:

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

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,

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

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

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

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

SOLUTION

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