an experiment consits of tossting 6 not weighted coins except 1 of the 6 has a...
Homework Answers
Out of the 6 coins, 1 has heads on both sides so it will always show heads. Other 5 are fair so Probability of getting heads there is 1/2
Now when we toss the 6 coins, probability of getting heads on exactly 4= Probability of getting 0 heads on the 1 fair ones*1 (since the 1 coin will always show heads)
= 1C0*(1/2)^1 = 0.5
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experiment consits of tossting 6 not weighted coins except 1 of the
6 has a...
An experiment consists of tossing 6 fair (not weighted) coins, except one of the 6 coins...
An experiment consists of tossing 6 fair (not weighted) coins, except one of the 6 coins has a head on both sides Compute the probability of obtaining exactly 5 heads The probability of obtaining exactly 5 heads is (Type an integer or a fraction)
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin...
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin 2 has both sides tails. • coin 3 has both sides tails. • coin 4 is a regular coin (1 side head, other side tails). (a)(3 points) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b)(3 points) If we randomly choose one coin, flip, and it comes up heads, what is the probability it...
Rosencrantz and Guildenstern are flipping coins. Guildenstern has a bag with 100 coins in it. All...
Rosencrantz and Guildenstern are flipping coins. Guildenstern has a bag with 100 coins in it. All of them are fair coins, except for 10 that each have heads on both sides and 2 that each have tails on both sides. Guildenstern reaches into the bag without looking, removes a randomly chosen coin, with each of the 100 coins equally likely, and flips it. Give exact answers expressed as simplified fractions. (a) What is the probability that it is one of...
6. Jar of Coins. 100 quarters. Most of Coins. Note: Thiadaned from a Google interview question....
6. Jar of Coins. 100 quarters. Most of Coins. Note: Thiadaned from a Google interview question. I have a jar Most of them are ar fi luarters, but 12 of them are takel of these fala eads on both sides and 5 have tails on both sides. quarters, 7 have heads on both sides and 5 have a) If you select a coin from the cct a coin from the jar at random and flip it 3 times and get...
6. A bag has 3 type A coins and 2 type B coins. The probability of...
6. A bag has 3 type A coins and 2 type B coins. The probability of heads with a type A coin is 1/4 and that with a type B coin is 1/2. A coin is randomly chosen from the bag and tossed. Given that the coin lands heads, what is the probability that it is of type A?
You have 5 coins, four of which are fair coins, i.e. P(H)=P(T)= 0.5, and the other...
You have 5 coins, four of which are fair coins, i.e. P(H)=P(T)= 0.5, and the other of which is a two headed coin, i.e. both sides have a head. Suppose you select a coin at random and flip in 3 times, getting all heads. If you flip the coin again, what is the probability it will be heads?
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
1. Suppose the probability experiment is to flip five coins. (a) What is the chance all...
1. Suppose the probability experiment is to flip five coins. (a) What is the chance all five coins will land heads? (b) What is the chance that zero will land heads? (c)What is the chance at least one will land heads?
Question 1 [20 points] We are given three coins: one has heads in both faces, the...
Question 1 [20 points] We are given three coins: one has heads in both faces, the second has tails in both faces, and the third has a head in one face and a tail in the other. We choose a coin at random, toss it, and the result is heads. What is the probability that the opposite face is tails?
We are given 3 coins. The first coin, coin X, has a head on both sides,...
We are given 3 coins. The first coin, coin X, has a head on both sides, the second coin, coin Y, has a head on one side and a tail on the other and the third coin, coin Z, has a tail on both sides. You pick a coin among the three coins at random and with equal likelihood of picking any one of the three coins X,Y,Z. You then toss the coin and a tail shows up. What is...
An experiment consists of tossing 6 fair (not weighted) coins, except one of the 6 coins has a head on both sides Compute the probability of obtaining exactly 5 heads The probability of obtaining exactly 5 heads is (Type an integer or a fraction)
Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin 2 has both sides tails. • coin 3 has both sides tails. • coin 4 is a regular coin (1 side head, other side tails). (a)(3 points) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b)(3 points) If we randomly choose one coin, flip, and it comes up heads, what is the probability it...
6. Jar of Coins. 100 quarters. Most of Coins. Note: Thiadaned from a Google interview question. I have a jar Most of them are ar fi luarters, but 12 of them are takel of these fala eads on both sides and 5 have tails on both sides. quarters, 7 have heads on both sides and 5 have a) If you select a coin from the cct a coin from the jar at random and flip it 3 times and get...
6. A bag has 3 type A coins and 2 type B coins. The probability of heads with a type A coin is 1/4 and that with a type B coin is 1/2. A coin is randomly chosen from the bag and tossed. Given that the coin lands heads, what is the probability that it is of type A?
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
Question 1 [20 points] We are given three coins: one has heads in both faces, the second has tails in both faces, and the third has a head in one face and a tail in the other. We choose a coin at random, toss it, and the result is heads. What is the probability that the opposite face is tails?
We are given 3 coins. The first coin, coin X, has a head on both sides, the second coin, coin Y, has a head on one side and a tail on the other and the third coin, coin Z, has a tail on both sides. You pick a coin among the three coins at random and with equal likelihood of picking any one of the three coins X,Y,Z. You then toss the coin and a tail shows up. What is...
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