Question

A bottle contains 8 marbles: 3 are red and 5 are blue. You are to take a marble from the bottle without looking. What is the probability that you will pick a Blue marble?​

Answer 1

Total Marbles in bottle = 8

no. of blue marbles = 5

Probability = number of blue marbles/ total marbles

P = 5/8

Answer = 5/8

Answer 2

The probability of picking a Blue marble = 5/8

Given :

A bottle contains 8 marbles : 3 are red and 5 are blue.

To find :

The probability of picking a Blue marble

Solution :

Step 1 of 3 :

Find total number of possible outcomes

Here it is given that a bottle contains 8 marbles : 3 are red and 5 are blue.

Total number of marbles = 8

So the total number of possible outcomes = 8

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of picking a Blue marble

Total number of blue marbles = 5

So total number of possible outcomes for the event A is 5

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

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

$\displaystyle \sf{ = \frac{5}{8} }$

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