Question

20 points!!!

Which of the following sets of events are independent?

There may be more than one correct answer.
Select all that apply.
flipping a coin and getting tails, then flipping it again and getting tails again

rolling a die a first time, then rolling the die a second time to get a sum of 9

drawing a card from a deck, and drawing another card after returning the first one
to the deck

drawing a card from a deck, and drawing another card without returning the first one
flipping a coin and getting tails, then picking a card that is a diamond

Answer 1

Solution: Independent events: Events are said to be independent, when the outcome of one event does not effect the outcome of other event.

Therefore from the given sets of events, the independent events are:

Flipping a coin and getting tails, then flipping it again and getting tails again.

Because the first flip will have no effect on second flip

Rolling a die a first time, then rolling the die a second time to get a sum of 9 .

Because the rolling of a die at first time have no effect on second rolling of die

Drawing a card from a deck, and drawing another card after returning the first one

to the deck.

Because drawing a card from a deck and then replacing back will have no impact on second draw.

flipping a coin and getting tails, then picking a card that is a diamond

Because flipping a coin and picking a card have no impact on each other