You have seven coins in your pocket, 1 quarter, 4 dimes and 2 pennies. Assume you randomly extract one coin from your pocket, and without replacing it you pick a second coin. If the events are P1 = “first pick was a penny” and D2 = “second pick was a dime,” what is the probability of picking these two coins? Show how you arrived at your conclusion (using probabilities).
Probability (P1) = Number of pennies/Total number of coins = 2/7
Probability (D2) = Number of dimes/Total number of coins remaining after first draw= 4/6
You have seven coins in your pocket, 1 quarter, 4 dimes and 2 pennies. Assume you...
Suppose you again have seven coins in your pocket, 1 quarter, 4 dimes, and 2 pennies. Again, you randomly extract one coin from your pocket, look at the coin, and then return that coin to your pocket. You then randomly extract a second coin from your pocket and look at that coin. If the events are again P1 = "first pick was a penny" and D2 = "Second pick was a dime," what is the probability of picking these two...
show work for each part 3. Suppose a bag contains 2 quarters, 1 dime, 5 nickels, and 3 pennies. a. If you randomly select one coin out of the bag, what is the probability that it is a nickel? P(N)= b. If you randomly select one coin out of the bag, what is the probability it is not a quarter? P@= c. If you select two coins with replacement, what is the probability of picking a dime (D1) and then...
A dish has 4 pennies, 2 nickels and 5 dimes. Randomly select 4 coins. What it the probability that the coins are all the same type? Show your work.(2 points)
6 X Yos have seven coins in youe pocket coins Ceech with probsbility of "heads0.5o Pour two-heaed cons (each with probslity of heade1.0 Suppose you randomily select a coin and g it Find the probablity of lipping "bead Now suppose that you do, in fact, Bip "heads" Givea hat information, find the probabibty that the coin you aipped was: b. A fair con? sA two-headed coin? d. Now suppose that when you flip it, the coin comes up "tails". Given...
You have in your pocket two coins, one bent (comes up heads with probability 3/4) and one fair (comes up heads with probability 1/2). Not knowing which is which, you choose one at random and toss it. If it comes up heads you guess that it is the biased coin (reasoning that this is the more likely explanation of the observation), and otherwise you guess it is the fair coin. A) What is the probability that your guess is wrong?
A box contains five coins. For each coin there is a different probability that a head will be obtained when the coin is tossed. (Some of the coins are not fair coins!) Let pi denote the probability of a head when the i th coin is tossed (i = 1, . . . , 5), and suppose that p1 = 0, p2 =1/4, p3 =1/2, p4 =3/4, p5 =1. The experiment we are interested in consists in selecting at random...
Write a program that tells what coins to give out for as change from 1 cent to 99 cents. Use coin denominations of 25 cents (quarters), 10 cents (dimes), and 1 cent (pennies) only. Include a loop that lets the user repeat this computation for new input values until the user says he or she wants to end the program. Solution Demo Hello I am the coin machine! I will give you the least number of coins for your change....
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and 0.2 respectively You plan to flip each coin and count the total number of heads. You're curious what the probability of getting exactly two heads is. [1 point a. Explain why you cannot use the Binomial model for this situation. [3 points] b. Show that the probability of getting exactly two heads is 0.38. Define any events you want to use in words. c....