You have a dish with 100 M&M candies. There are 40 brown, 30 red, 20 yellow, 5 g

Question

You have a dish with 100 M&M candies. There are 40 brown, 30 red, 20 yellow, 5 green, and 5 blue candies.

1. What is the sample space?

2. In one trial, what is the probability of picking a brown candy out of the dish

3. In one trial, what is the probability of picking a red candy out of the dish?

4. In one trial, what is the probability of picking a yellow candy out of the dish?

5. In one trial, what is the probability of picking a blue candy out of the dish?

6. In one trial, what is the probability of picking either a brown or red candy?

7. In one trial, what is the probability of picking either a green or blue candy?

8. In one trial, where you pick only one candy out of the dish, what is the probability of picking both a yellow and green?

9. What did you learn about probabilities completing this exercise? (at least 50 words)

Explanation / Answer

1. Sample space: {40 B, 30 R, 20 Y, 5 G, 5 B}

2. P(B) = 40/100 = 0.4

3. P(R) = 30/100 = 0.3

4. P(Y) = 20/100 = 0.2

5. P(B) = 5/100 = 0.05

6. P(B or R) = (40 + 30)/100 = 70/100 = 0.7

7. P(G or B) = (5 + 5)/100 = 10/100 = 0.1

8. P(Both Y and G) = 0 [Since we are picking only one candy]

9. The two important things which we have learned about probabilities are:

--> Probability can't be a negative number.

--> The minimum value of probability is 0 and the maximum value is 1. 0 will be impossible event and 1 will be a certain event. An example of impossible event is drawing both yellow and green in one turn and an example of certain event is drawing brown or red or yellow or green or blue candy in one turn.

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