Which of the following is an example of dependent events? A. Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack B. Winning the lottery and getting struck by lightning C. Spinning a 5 on a spinner and getting tails from flipping a coin D. Owning a dog and being in the school chorus

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slowww11 slowww11

02-07-2020
Mathematics

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Which of the following is an example of dependent events? A. Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack B. Winning the lottery and getting struck by lightning C. Spinning a 5 on a spinner and getting tails from flipping a coin D. Owning a dog and being in the school chorus

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tramserran tramserran · Answer 1 · 2020-07-02T18:49:57+02:00

Answer: A. Drawing a jack and drawing a six without replacement

Step-by-step explanation:

A Dependent event means the outcome of one event affects the outcome of the other event.

Options B, C, and D:

The first event is completely unrelated to the second event so those options are Independent events.

Option A:

The first event uses 52 cards. The second event only has 51 cards remaining because we did not replace the first card. The probability of the second event IS affected by the first event so this is a Dependent event.

Note: If the card was replaced before drawing the second card, then it would be an Independent event.

varshamittal029 varshamittal029 · Answer 2 · 2022-07-12T21:52:58+02:00

The example for dependent events is (A) Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack.

What are Dependent Events?

If the probability of one event of two events is affected by another one then that two events are called dependent events of one another.

What is Probability?

The probability of an event is the ratio of the favorable cases for that event to the total number of possible cases under that event.

Here analyzing the given choices we get,

(A) If we draw a jack from a standard deck of cards that is containing 52 cards.

And then we draw a six replacing without that jack card then it affects the probability as the total number of cards for this event reduces from 52 to 51.

So these two events are dependent events.

(B) Winning a lottery and getting struck by lighting are completely two different events from a different field, so they are independent.

(C) Spinning a 5 on a spinner cannot affect getting tails from flipping a coin. So they are not dependent on events.

(D) Owning a dog cannot affect being in the school chorus so they are independent (not dependent).

Hence the correct answer is (A).

Learn more about Dependent Events here -

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