A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and t probability of heads is .25, and one trick coin which has tails on both sides. (a) What is the probability that a randomly selected coin from the box will come up heads wh flipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up tails. What is t probability that it's the trick coin? (c) Let X be the random variable that represents the number of heads when every coin in the box flipped. What is the probability distribution of X? (Hint: you can try counting all the outcome or you can remember that coin flins are independent of each other)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question

cs hw help for class

A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the
probability of heads is .25, and one trick coin which has tails on both sides.
(a) What is the probability that a randomly selected coin from the box will come up heads when
flipped?
(b) Suppose you randomly pick a coin from the box and flip it, and it comes up tails. What is the
probability that it's the trick coin?
(c) Let X be the random variable that represents the number of heads when every coin in the box is
flipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes,
or you can remember that coin flips are independent of each other.)
Transcribed Image Text:A box contains two fair coins, two coins that are weighted so that the probability of heads is .75 and the probability of heads is .25, and one trick coin which has tails on both sides. (a) What is the probability that a randomly selected coin from the box will come up heads when flipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up tails. What is the probability that it's the trick coin? (c) Let X be the random variable that represents the number of heads when every coin in the box is flipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes, or you can remember that coin flips are independent of each other.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,