Question

There are 6 marbles in a sling bag of these 3 are red marbles 2 are blue marbles and , 1 is a yellow marbles What is the probability of of drawing a red marble?​

Answer 1

The probability of of drawing a red marble = 1/2

Given :

There are 6 marbles in a sling bag of these 3 are red marbles 2 are blue marbles and , 1 is a yellow marbles

To find :

The probability of drawing a red marble

Solution :

Step 1 of 3 :

Find total number of possible outcomes

Here it is given that there are 6 marbles in a sling bag

So total number of possible outcomes = 6

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of drawing a red marble

There are 6 marbles in a sling bag of these 3 are red marbles 2 are blue marbles and , 1 is a yellow marbles

Since number of red marbles = 3

So total number of possible outcomes for the event A is 3

Step 3 of 3 :

Find the probability

Hence the required probability

= The probability of of drawing a red marble

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{3}{6} }$

$\displaystyle \sf{ = \frac{1}{2} }$

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