Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

97,200 users

Flipping a coin probability.

0 votes
  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?

asked Jan 24, 2015 in STATISTICS by anonymous

1 Answer

0 votes

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.

answered Jan 24, 2015 by yamin_math Mentor

Related questions

asked Jan 17, 2019 in ALGEBRA 1 by anonymous
asked Feb 9, 2015 in STATISTICS by anonymous
...