Combination of Events
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
A dice is rolled and a coin is tossed. What is the probability of getting a head and an even number ? | |||
| Right Option : C | |||
| View Explanation | |||
Two dice are rolled and a coin is tossed. What is the probability of getting a head and sum of digits of dice as 8 ? | |||
| Right Option : B | |||
| View Explanation | |||
A dice is rolled and a coin is tossed. What is the probability of getting a tail and an even number ? | |||
| Right Option : C | |||
| View Explanation | |||
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