Question

There are 6 cards in a box with numbers from 1 to 6 marked on each of them. (1) What is the probability of drawing a card with number 3? (2) What is the probability of drawing a card with number greater than 4?​

Answer 1

Answer:

Given: Marbleswith numbers marked on each of them are 1,2,3,4,5 and 6.

∴ Probability of drawing marble with number 5 =sample spacetotal favourable outcome

∴ Probability of getting number 5 =61

Answer 2

Given :

There are 6 cards in a box with numbers from 1 to 6 marked on each of them.

To Find :

Probability of drawing a card with number 3 .

Probability of drawing a card with number greater than 4.

Solution :

$\longmapsto\tt{Total\:Outcomes=6}$

= 1 , 2 , 3 , 4 , 5 , 6

1. Probability of drawing a card with number 3 :

$\longmapsto\tt{Favourable\:Outcomes=1\:(3)}$

Using Formula :

$\longmapsto\tt\boxed{Probability=\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}}$

Putting Values :

$\longmapsto\tt\bf{\dfrac{1}{6}}$

So , The Probability of getting a number 3 is 1/6 .

____________________

2. Probability of drawing a card with number greater than 4 :

$\longmapsto\tt{Favourable\:Outcomes=2\:(5\:and\:6)}$

Using Formula :

$\longmapsto\tt\boxed{Probability=\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}}$

Putting Values :

$\longmapsto\tt{\cancel\dfrac{2}{6}}$

$\longmapsto\tt\bf{\dfrac{1}{3}}$

So , The Probability of getting a number 3 is 1/3 .