# Flipping a coin probability.

1. Flip a coin 25 times and keep track of the results. What is the experimental probability of landing on tails? What is the theoretical probability of landing on heads or tails?

1. A color candy was chosen randomly out of a bag. Below are the results:
 Color Probability Blue 0.30 Red 0.10 Green 0.15 Yellow 0.20 Orange ???

a. What is the probability of choosing a yellow candy?

b. What is the probability that the candy is blue, red, or green?

c. What is the probability of choosing an orange candy?

Step 1:

(a)

From the table we can summarize the probabilities of different color candy's.

The probability of choosing a blue candy is  P(B) = 0.30.

The probability of choosing a red candy is  P(R) = 0.10.

The probability of choosing a green candy is  P(G) = 0.15.

The probability of choosing a Yellow candy is  P(Y) = 0.20.

Step 2:

(b)

The probability that the candy is blue , red, or green is = P(B) + P(R) + P(G) .

= 0.30 + 0.10 + 0.15

= 0.55

So the probability that the candy is blue , red, or green is 0.55.

Step 3:

(c)

The sum of the probabilities of all events in an experiment is always one.

So P(B) + P(R) + P(G) + P(Y) + P(O)  = 1

0.30 + 0.10 + 0.15 + 0.20 + P(O)  = 1

0.75 + P(O)  = 1

P(O)  = 1 - 0.75

P(O)  = 0.25

Therefore the probability of choosing a orange candy is  P(O) = 0.25.

Solution :

(a) The probability of choosing a Yellow candy is 0.20.

(b) The probability that the candy is blue , red, or green is 0.55.

(c) The probability of choosing a orange candy is 0.25.