Question

In which example are the events dependent? A) Blake flips a coin 3 times. What is the probability that he flips heads all three times? B) Kendra has 4 alternative songs and 5 country songs on a CD. What is the probability that the first song she hears two mornings in a row is an alternative song? C) Dreanna has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are Queens? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls?

Answer 1

D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls? i
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Answer 2

Answer:

The example that denotes the event is dependent is:

Example: D

Step-by-step explanation:

Two events are said to be dependent if the occurrence of the first events affects the occurrence of the second event.

A)

In this experiment the occurrence of one event do not affect the occurrence of the other.

Since , the probability of head each time will be same i.e. 1/2

and the probability of tail also each time will be same i.e. 1/2

Hence, the events are independent.

B)

In this the probability of playing a alternative song and country song will be same both the morning i.e.

Probability of playing alternative song is:4/9

Probability of country song is:5/9

Hence, the events are independent.

C)

Since in this a card is drawn and then replaced and then a second card is drawn.

Hence, the probability of drawing a card in both the draws are same.

Hence, the events are independent.

D)

In this experiment the probability of choosing a girl in the first selection will be different as compared to the probability of choosing a girl in the second selection.

Since,

Probability of choosing a girl in the first place is: 10/25

and probability of choosing a girl in the second turn is: 9/24

Hence, the events are dependent.

Hence, Example D is the answer.