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Determine whether the following individual event are independent or dependent. Then find the probability of the combined event.

Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 55 red pieces of candy out of 49 pieces of candy total.

2 Answers

2 votes

Final answer:

The events of drawing and eating two red candies in a row are dependent. The probability of the combined event is approximately 0.6143.

Step-by-step explanation:

To determine whether the events of randomly drawing and immediately eating two red pieces of candy in a row from a bag are independent or dependent, we need to consider if the outcome of the first draw affects the probability of the second draw. In this case, the events are dependent because the number of red candies changes after each draw, affecting the probability of drawing another red candy.

To find the probability of the combined event, we multiply the probability of the first draw (55/49) by the probability of the second draw after the first red candy was removed from the bag (54/48).

Therefore, the probability of the combined event is (55/49) × (54/48) or approximately 0.6143.

User Pyano
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6.1k points
3 votes

Answer: independent & .057

Step-by-step explanation:

User Bab
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4.1k points