Question

In a bag there are 6 red marbles, 7 blue marbles and 3 black marbles. What is the probability of drawing a blue marble?​

Answer 1

Answer:

the probability of drawing a blue marble is

$\frac{16}{7}$

Answer 2

The probability of drawing a blue marble = 7/16

Given :

In a bag there are 6 red marbles, 7 blue marbles and 3 black marbles.

To find :

The probability of drawing a blue marble

Solution :

Step 1 of 3 :

Find total number of possible outcomes

The bag contains 6 red marbles, 7 blue marbles and 3 black marbles.

Total number of balls

= 6 + 7 + 3

= 16

So total number of possible outcomes = 16

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of drawing a blue marble

There are 7 blue marbles in the bag

So total number of possible outcomes for the event A is 7

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

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

$\displaystyle \sf{ = \frac{7}{16} }$

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