Pick a random card. Let M be the event that the card has the value 2, 4, 6, 8, or 10. Let N be...

Question:

Pick a random card. Let M be the event that the card has the value 2, 4, 6, 8, or 10. Let N be the event that the card is a red card.

(a) Are the events C and D mutually exclusive?

(b) Are the events C and D independent?

Independent and Mutually Exclusive Events:


The events are said to be independent of each other when the chances of occurrence one vent in no way affects the chances of occurrence of another event whereas mutually exclusive events are those which cannot occur together at a single point of time.

Answer and Explanation:


(a)


The events C and D are not mutually exclusive since we can obtain the card value of 2,4,6,8 or 10 that is a red card.

Thus, the given events can occur together and hence are no exclusive events.


(b)


No, the given events are not independent of each other since the probability of drawing a red card with a value of 2,4,6,8 or a 10 is possible.


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Mutually Exclusive Events & Non-Mutually Exclusive Events

from 6th-8th Grade Math: Practice & Review

Chapter 48 / Lesson 5
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