How can two events be mutually exclusive

It is the three of diamonds. You put this card aside and pick the third card from the remaining 50 cards in the deck. The third card is the J of spades. Because you have picked the cards without replacement, you cannot pick the same card twice.

Example 1 You have a fair, well-shuffled deck of 52 cards. Suppose you know that the picked cards are Q of spades, K of hearts and Q of spades. Can you decide if the sampling was with or without replacement? Show Answer Sampling with replacement. Show Answer No, we cannot tell if the sampling was with or without replacement.

Show Answer Without replacement With replacement. Try It You have a fair, well-shuffled deck of 52 cards. B and C are mutually exclusive. B and C have no members in common because you cannot have all tails and all heads at the same time. Try It Draw two cards from a standard card deck with replacement.

F and G are not mutually exclusive. Getting all tails occurs when tails shows up on both coins TT. J and H are mutually exclusive.

Try It A box has two balls, one white and one red. Show Answer Yes. Show Answer No. Therefore, C and D are mutually exclusive events.

No, event C and event E are not mutually exclusive events. Show Answer This is a conditional probability. Try It In a bag, there are six red marbles and four green marbles. S has ten outcomes.

Try It A student goes to the library. Find P B D. Find P D B. Are B and D independent? Are B and D mutually exclusive? You cannot draw one card that is both red and blue. There are three even-numbered cards, R2, B2, and B4. Out of the blue cards, there are two even cards; B2 and B4. There are three even-numbered cards: R2, B2, and B4.

Out of the even-numbered cards, to are blue; B2 and B4. Are the events of rooting for the away team and wearing blue independent?

Are they mutually exclusive? Show Answer H and T; 2. Show Answer 1, 2, 3, 4, 5, 6 ; 6. Compute P T. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.

Create a free Team What is Teams? Learn more. Can two events be mutually exclusive but not independent? Asked 4 years, 1 month ago. Active 4 years, 1 month ago. Viewed 7k times.

Add a comment. The events of rolling a 4 and rolling a double have the outcome 2 , 2 in common so the two events are not mutually exclusive. From a group of 6 freshmen and 5 sophomores, 3 students are to be selected at random to form a committee. What is the probability that at least 2 freshmen are selected? Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.

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