Bag and Marbles Probability Calculator

The Bag and Marbles Calculator is often used to solve the probability problems. Answer probability based questions easily by using our Bag and Marbles Calculator. Know how to find the bag and marbles probability questions with step by step explanation from this page.

Bag and Marbles Calculator Examples

Check out the examples provided below to solve bag and marbles probability questions. You can solve the questions using Bag and Marbles Calculator.

  1. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

(i) red ? (ii) white ? (iii) not green?

Solution:

Given,

A box contains 5 red marbles, 8 white marbles and 4 green marbles.

Probability = number of possible outcomes/total number of favorable outcomes

P(E) + P(not E) = 1

Total number of balls = 5 + 8 + 4 = 17

Probability of drawing red ball = 5/17

Probability of drawing white ball = 8/17

Probability of drawing green ball = 4/17

Let the probability of not getting a green ball be P (not E)

P (not E) = 1 - P (E)

= 1 - 4/17

= 13/17

  1. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red ? (ii) not red?

Solution:

Probability = number of possible outcomes/total number of favorable outcomes

P(R) + P(not R) = 1

Number of red balls in a bag = 3

Number of black balls in a bag = 5

Total number of balls = 3 + 5 = 8

The probability that the ball drawn is red, P(R) = 3/8

The probability that the ball drawn is not red, P(not R) = 5/8

  1. A bag contains three green marbles, four blue marbles and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is
  1. 1/4
  2. 1/3
  3. 4/9
  4. 7/9

Solution:

Given,

Number of green marbles in a bag = 3

Number of blue marbles in a bag = 4

Number of orange marbles in a bag = 2

Total number of marbles = 9

The probability of picking orange marble = 2/9

The probability of not picking orange marble = 1 - 2/9 = 7/9

FAQs on Marbles in a Bag Probability Calculator

  1. A bag contains 4 red and 8 blue marbles. A marble is drawn at random. The probability of drawing red is 1/3. State whether the statement is true or false.

Given,

A bag contains 4 red and 8 blue marbles.

Total = 4 + 8 = 12

The probability of drawing red = 4/12 = 1/3

So, the statement is true.

  1. What are the 3 types of probability?

The three types of probability are

  1. Theoretical probability
  2. Experimental Probability
  3. Axiomatic Probability
  1. What is the probability of getting a marble which is not red from a bag containing 3 black, 8 yellow, 2 red and 5 white marbles?​

Given,

number of black marbles = 3

number of yellow marble = 8

number of red marble = 2

number of white marble = 5

Total = 3 + 8 + 2 + 5 = 18

Subtract 2 red marbles

18 - 2 = 16

So, the answer is 16/18 = 8/9

Bag And Marbles Calculator