Question
In: Statistics and Probability
Losing a coin. You begin the day carrying 2 nickels and 1 dime in your pocket....
Losing a coin. You begin the day carrying 2 nickels and 1 dime in your pocket. Sadly, your pocket has a hole. Very sadly, at the end of the day, one of the 3 coins has fallen out. Each of the three coins has an equal probability of falling out. In the evening, you reach into your pocket and pull out one of the two remaining coins, each of which has an equal probability of being chosen. The coin you happen to pick from your pocket is a nickel.
Let D be the event you lost the dime; N be the event you lost a nickel; d be the event you pick a dime from your pocket, and n be the event you pick a nickel from your pocket.
Given that you have picked a nickel from your pocket, what is the (conditional) probability that you LOST the DIME through the hold in your pocket. Show the equation (algebraic or numeric) that you use to calculate that result.
Solutions
orchestra answered 1 year agoRelated Solutions
You have 2 dimes, 6 nickels, and 7 pennies in your pocket. You randomly remove two...
You have 2 dimes, 6 nickels, and 7 pennies in your pocket. You
randomly remove two coins without replcement?
1. What is the probability that both of them are nickels?
2. What is the probability that the first is a nickel and the
second is a dime?
Suppose you have 2 nickels, 3 dimes, and 1 quarter in a coin purse. You choose...
Suppose you have 2 nickels, 3 dimes, and 1 quarter in a coin
purse. You choose two coins from the purse at random. What is the
probability you draw out at least 20 cents?
A three of a kind in a five-card poker hand is obtained by
having exactly three of the same type of card (3 Js or 3 4s). What
is the probability that a randomly selected five-card hand is a
three of a kind?
Suppose you have 2 nickels, 3 dimes, and 1 quarter in a coin purse. You choose...
Suppose you have 2 nickels, 3 dimes, and 1 quarter in a coin
purse. You choose two coins from the purse at random. What is the
probability you draw out at least 20 cents?
A three of a kind in a five-card poker hand is obtained by
having exactly three of the same type of card (3 Js or 3 4s). What
is the probability that a randomly selected five-card hand is a
three of a kind?
A committee of...
Conditional probability You have two coins in your pocket. One is a regular coin and the...
Conditional probability
You have two coins in your pocket. One is a regular coin and the
other is a weighted coin that has a 75% chance of landing heads up.
You can’t tell the coins apart by inspecting them. You take a coin
out of your pocket and toss it. It lands heads up.
a. What is the probability that the coin is the fair coin?
b. How many times would you decide to flip the coin before you
are...
You flip a coin, if it is heads you will have a good day and if...
You flip a coin, if it is heads you will have a good day and if
it is tails you will have a bad day. There are 30 days in
total.
(a) What is the expectation and variance of the number of times
you will have a good day throughout this 30 day stretch?
(b) What is the probability that every day will be bad for all
of the 30 days?
In your pocket, you have seven coins: 2 ten cent pieces, 2 fifty cent pieces, 2...
In your pocket, you have seven coins: 2 ten cent pieces, 2 fifty
cent pieces, 2 one dollar pieces and 1 two dollar piece. You
simultaneously choose two coins from your pocket (before you can
feel the difference between any of them). Let ? represent the value
of the two coins (in cents) that you select from the pocket. a)
NEATLY Create a probability distribution for ? and ?(? = ?). HINT:
Consider using a tree diagram to represent the...
Before you begin this discussion, find a coin and flip it 10 times, recording the outcome...
Before you begin this discussion, find a coin and flip
it 10 times, recording the outcome of each flip as either heads or
tails. Post your results in this discussion, along with the
percentage of flips that resulted in heads. We might expect that
percentage to be 50%, but the results may vary from student to
student (sometimes drastically) in this exercise. As a response to
other students, add their data to yours and compute the new
percentage of flips...
Coin 1 comes up heads with probability 0.6 and coin 2 with probability 0.5. A coin...
Coin 1 comes up heads with probability 0.6 and coin 2 with
probability 0.5. A coin is continually flipped until it comes up
tails, at which time that coin is put aside and we start flipping
the other one. (a) What proportion of flips use coin 1? (b) If we
start the process with coin 1 what is the probability that coin 2
is used on the fifth flip? (c) What proportion of flips land
heads?
Box A contains 2 quarters, box B contains 1 quarter and 1 dime. A box is...
Box A contains 2 quarters, box B contains 1 quarter and 1 dime.
A box is picked at random. From this box a coin is picked at random
and it is a quarter. What is the probabilitythat the box picked was
box B?
1-Should doctor save the mother at the risk of losing the baby? 2 after you watching...
1-Should doctor save the mother at the risk of losing the baby?
2 after you watching the last Abortion Clinic how it
enfluenced you regarding the abortion
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Read at least 2 academically reviewed articles and Write an annotated bibliography paper on Master Budgeting
- Why normalization and referential integrity are important principles when designing relational databases?
- Respond to the following in a minimum of 175 words: Discuss what elements should be present...
- 1) The 3rd bright fringe of a double slit interference pattern is 30.0 cm above the...
- A solar cell generates a potential difference of 0.320 V when a 445.0 ? resistor is...
- A ceiling fan consists of a small cylindrical disk with 5 thin rods coming from the...
- You measure the following quantities as A = 1.0 m ± 0.2 m, B = 2.0...
ADVERTISEMENT