Combination of Events


 
 
Concept Explanation
 

Combination of Events

Combination Of Events

An event where two or more mutually exclusive events occur simultaneously is said to be a combination of event. For example while throwing a dice and picking a card from a deck of cards is happening simultaneously.

In such a situation the sample space if calculated by multiplying the total outcomes in each case.

For example For combination of event  of throwing a dice and picking a card from a deck of cards

The sample space while throwing a dice = 6

The sample space of picking a card from a deck of cards  = 52

So the sample space of the event of throwing a dice and picking a card from a deck of cards

= Sample space while throwing a dice X  Sample space for picking a card from a deck of cards

= 6 X 52 = 312

From the sample space we will calculate the favorable outcomes and will then calculate the probability.

Illustration: A dice and a coin is thrown simultaneously. Find the probability of getting a head and 2 on the dice.

Solution:  Now throwing a dice and tossing a coin are two mutually exclusive events. So the sample space is calculated by multiplying the total outcomes in each case

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Sample Questions
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Question : 1

A dice is rolled and a coin is tossed. What is the probability of getting a head and an even number ?

Right Option : C
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Question : 2

A dice is rolled and a card is picked from a well shuffled deck of cards. What is the probability of getting an red king and an even number ?

Right Option : D
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Question : 3

A bag contains 10 blue and 5 black balls . if two balls are drawn simultaneously and the first ball turns out to be blue , what is the probability that the second ball is also blue ?

Right Option : A
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Explanation
 
 
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