Combination of Events
Combination of Events
COMBINATION OF EVENTS:
Mutually Exclusive Events:
If two events cannot occur simultaneously then they are mutually exclusive. If A and B are mutually exclusive events, then
Ex. In drawing a card from a well shuffled pack of 52 cards, consider he following events:
A = the card is a spade, and B= the card is a heart
The two events A and B are mutually exclusive.
Following two events are not mutually exclusive.
(a) The card is a heart (b) The card is a king
Because the card can be king of heart.
Addition Theorem of Probability:
(i) If A and B are two events associated with a random experiment, then
IF A and B are mutually exclusive events then
(ii) If A, B, C are three events associated with a random experiment, then
Example: A bag contains 6 white, 5 black and 4 red balls. FInd the probability of getting either a white or a black ball in a single draw.
Solution: Let A = Event that we get a black ball
Two events A and B are mutually exclusive.
So,
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 | |||
| View Explanation | |||
A dice is rolled and a card is picked from a well shuffled deck of cards. What is the probability of getting an Ace 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 | |||
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
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Om Umang
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Cheshta
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Manish Kumar
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Eshan Arora
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
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Prisha Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
