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Determine whether the following individual events are independent or dependent. Then find the probability of the combinedevent.Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 6 red pieces of candyout of 45 pieces of candy total.Choose the correct answer below.(Round to three decimal places as needed.)O A. The individual events are dependent. The probability of the combined event isOB. The individual events are independent. The probability of the combined event is

User Dan McNevin
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1 Answer

12 votes
12 votes

We have a bag that contains:

• 6 red pieces of candy,

,

• 45 pieces of candy in total.

We have the following individual events:

• E_1 = randomly we draw and eat a red candy from the bag,

,

• E_2 = randomly we draw and eat a second red candy from the bag.

To happen event E_2, first, it must happen the first event E_1. So the events are dependent.

Let's compute the probability of the combined event.

1) The probability of drawing the first red candy is:

P(1st red candy) = 6/45

2) The probability of drawing a red candy after the 1st red candy is:

P(2nd red candy after the 1st red candy) = 5/44

3) The probability of drawing 2 red candies in a row is:

P(2nd red candy after 1st red candy) = P(1st red candy) * P(2nd red candy after the 1st red candy) = 6/45 * 5/44 = 1/66

Answer

The individual events are dependent, the probability of the combined event is 1/66.

User Cipi
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