Question

Two coins fall "heads up" with probabilities w1 and w2 respectively. Both coins are tossed. What...

Two coins fall "heads up" with probabilities w1 and w2 respectively. Both coins are tossed. What is the probability that they show the same face? If they do show the same face, what is the probability that theface they both show is "heads"?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution:

According to the provided information,

There is two coin fall "heads up" with probabilities w1 and w2 respectively.

Since a coin has two faces and if the probability of getting "heads up" is w then the probability of getting another side is 1-w

The probability that they show the same face can be calculated as:

And,

The probability that the face they both show is "heads" can be calculated as:

Therefore, the probability that the face they both show is "heads" is w1w2

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Part 1. Two fair coins are tossed and we are told that one turned up “Heads”....
Part 1. Two fair coins are tossed and we are told that one turned up “Heads”. What is the probability that the other turned up “Tails”? Part 2. Two fair coins are tossed, and we get to see only one, which happened to turn up “Heads”. What is the probability that the hidden coin turned up “Tails”? *Remark This problem is really different from the previous one!
1) Four fair coins are tossed. Find the following probabilities: a) P(getting 2 heads and 2...
1) Four fair coins are tossed. Find the following probabilities: a) P(getting 2 heads and 2 tails) b) P(getting at least one heads) c) P(getting 2 heads given there is at least one heads) 2. The probability that a new Duracell battery is defective is 1%. Suppose that Janet buys a 100 pack of batteries from Costco. Find the following probabilities: a) P(3 batteries are defective) b) P(none of the batteries are defective)
Three coins are tossed: a nickel, dime and penny with probabilities of head known to be...
Three coins are tossed: a nickel, dime and penny with probabilities of head known to be 0.4, 0.5 and 0.2, respectively. What is the probability that of three tails?
Let X denote the number of heads than occur when four coins are tossed at random....
Let X denote the number of heads than occur when four coins are tossed at random. Under the assumptions that the four coins are independent and the probability of heads on each coin is 1/2,X is B(4,1/2). One hundred repetitions of this experiment results in 0,1,2,3, and 4 heads being observed on 7,18,40,31, and 4 trials, respectively. Do these results support the assumption that the distribution of X is B(4,1/2)?
1. two coins are tossed, find the probability that two heads are obtained. note: each coin...
1. two coins are tossed, find the probability that two heads are obtained. note: each coin has two possible outcomes H (heads) and T (tails). 2. which of these numbers cannot be a probability? why? a) -0.00001 b) 0.5 c) 20% d)0 e) 1 3. in a deck of 52 cards, what is the probability of drawing a three of spades, and then a four of clubs, without replacement? 4. what is the probability of the same outcome in #3,...
A coin is tossed seven times. What is the probability that the outcome is seven ​heads,...
A coin is tossed seven times. What is the probability that the outcome is seven ​heads, given that exactly four of the coins show heads​? The probability of getting seven heads is..?
What is the sample space for the number of heads if four different coins are tossed?
What is the sample space for the number of heads if four different coins are tossed?
Three dice are rolled and two fair coins are tossed. Let X be the sum of...
Three dice are rolled and two fair coins are tossed. Let X be the sum of the number of spots that show on the top faces of the dice and the number of coins that land heads up. The expected value of X is ____?
a) If a firm is employing inputs X1 and X2 such that (MPX1/MPX2) > (w1/w2), where...
a) If a firm is employing inputs X1 and X2 such that (MPX1/MPX2) > (w1/w2), where w1 and w2 are the prices of X1 and X2, respectively. Is the firm behaving optimally? Why or why not? Show this situation on a graph. b) What should the firm do? Why?
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment...
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment for which there are two disjoint events, with equal probabilities, that we call "heads" and "tails". a. given c1 and c2, where c1 lands heads up with probability 2/3 and c2 lands heads up with probability 1/4, construct a "fair coin flip" experiment. b. given one coin with unknown probability p of landing heads up, where 0 < p < 1, construct a "fair...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT