A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?
Answers
Answer:
Total marbles = 5 + 8 + 4
= 17
Marbles without purple ones = 5 + 8
= 13
Probability of not getting purple marbles = 13/17 (Simplest form)
Answer:
The probability of not getting a purple marble is 13 / 17.
Step-by-step-explanation:
There are three different coloured marbles in a bag.
Number of white marbles is 5.
Number of red marbles is 8.
Number of purple marbles is 4.
∴ Total number of marbles = 5 + 8 + 4
⇒ n ( S ) = 17
Now, let A be the event that the marble taken randomly is not purple.
∴ A = { W₁, W₂, W₃, W₄, W₅, R₁, R₂, R₃, R₄, R₅, R₆, R₇, R₈ }
⇒ n ( A ) = 13
Now, we know that,
Probability of not getting purple marble = [ n ( A ) / n ( S ) ]
⇒ Probability of not getting purple marble = 13 / 17
∴ The probability of not getting a purple marble is 13 / 17.
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Additional Information:
1. Probability:
Probability means the possibility of happening a certain thing.
2. Random Experiment:
An experiment conducted to knwo the possibility of a particular event is called as random experiment.
3. Event:
The result of the random experiments is called as event.
4. Sample Space:
The set of all possible events for a random experiment is called as sample space.
5. An event is a subset of a sample space.
6. Formula for probability:
Probability of an event = [ ( Number of favourbale outcomes ) / ( Total number of outcomes ) ]
If A is an evnet, S is sample space, then the probability of the event A is -
- P ( A ) = [ n ( A ) / n ( S ) ]
7. The probability of any event is always between 0 - 1.
8. Probability can be expressed in a fraction or in percentage.