Question

Which situation describes DEPENDENT events? A) A die is rolled, the outcome is recorded, then a coin is tossed. B) A die is rolled, the outcome is recorded, then the same die is rolled again. C) A spinner is spun once, the outcome is recorded, then it is spun again. D) A card is drawn from a deck, then a second card is drawn from the same deck.

Answer 1

D. Because you are taking out a card without replacing therefore the event is a dependent even rather than an independent

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Dependent events are those events in which second event is completely dependent upon the first event.

The possibility of second event may hampered due to change in first event.

A) A die is rolled, the outcome is recorded, then a coin is tossed.

Coin is tossed after a die is rolled, so the outcomes of tossed coins are not dependent upon the die rolled.

So, it is independent event.

B) A die is rolled, the outcome is recorded, then the same die is rolled again.

A die is rolled again after the die is rolled once, so the after-events is not dependent upon the die rolled.

So, it is independent event.

C) A spinner is spun once, the outcome is recorded, then it is spun again.

Spinner is spun again after one time, so its outcomes does not depend upon the first event.

so, it is independent event.

D) A card is drawn from a deck, then a second card is drawn from the same deck.

Here, A second card is drawn after the first card drawn,

So the probability of getting a second card is completely dependent upon the first card .

If Suppose first card is 'ace', the possibility of second card to be an ace is reduced by one.

So, it is a dependent event.

Hence, Option 'D' is correct.