Question

a bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the experimental probability of getting a blue marble.​

Answer 1

The experimental probability of getting a blue marble = 2/5

Given :

A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles.

To find :

The experimental probability of getting a blue marble.

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles.

Total number of balls

= 10 + 8 + 2

= 20

So total number of possible outcomes = 20

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of getting a blue marble.

There are 8 blue marbles in the bag

So total number of possible outcomes for the event A is 8

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

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

$\displaystyle \sf{ = \frac{8}{20} }$

$\displaystyle \sf{ = \frac{2}{5} }$

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Answer 2

Answer:   Probability = $\frac{2}{5}$

Step-by-step explanation:

GIVEN :   Number of red marbles = 10

             Number of blue marbles = 8

           Number of yellow marbles = 2

TO FIND : Experimental probability of getting a blue marble

Step By Step Explanation :

      Probability = favourable no. of outcomes / Total no. of outcomes

Here , the favourable outcomes are = no. of blue marbles i.e. 8

           Total outcomes = total no. of marbles = 10 + 8 + 2 = 20

 ∴  Probability = $\frac{8}{20}$ = $\frac{2}{5}$

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