Enter a number. An empirical probability experiment requires the researcher to toss a commonly known coin...
QUESTION 7 Which of the two events are mutually exclusive? OA. Toss a coin to get a head or tail OB. Roll a die to get an even number or 4 OC. Roll two dices to get two even numbers or a sum of 8 D. Roll a die and get a prime number or 3 QUESTION 8 Probability of events must lie in limits of OA. 1-2 B. 2-3 OC.0-1 OD.-1-1 QUESTION9 Sample space (e.g. all possible outcomes) for...
1. You roll a die and toss a coin. What is the probability of seeing tails and a 3? 2. You roll a die and toss a coin. What is the probability of seeing a tails or a 3?
Example 5.5. We roll a fair die then toss a coin the number of times shown on the die. What is the probability of the event A that all coin tosses result in heads? One could use the state space Ω = {(1, H), (1, T), (2, H, H), (2, T, T), (2, T, H), (2, H, T), . . . }. However, the outcomes are then not all equally likely. Instead, we continue the state space is Ω {1,...
The experiment is flipping a fair coin twice Let A be the event the first toss is heads and be the event the second toss is heads." What is PAU , the probability of Apr 07 Hint You will need to use the addition rule of probability. Listing the sample space is one way to figure out PAD). 2.71 points 00 0.50 0.75 0.25
Suppose we toss a weighted coin, for which the probability of getting a head (H) is 60% i) If we toss this coin 3 times, then the probability of getting exactly two heads (to two decimal places) is Number ii) If we toss this coin 6 times, then the probability of getting exactly four heads (to two decimal places) is Number CI iii) if we toss this coin 8 times, then the probability of getting 6 or more heads (to...
9.74. Suppose we toss a biased coin independently until we get two heads or two tails in total. The coin produces a head with probability p on any toss. 1. What is the sample space of this experiment? 2. What is the probability function? 3. What is the probability that the experiment stops with two heads?
You toss one coin and one die. What is the probability that you get tail and a number greater than 3?
A5 Consider an experiment where you toss a coin as often as necessary to turn up one head. Suppose that the probability of having a tail is p (obviously probability of a head is 1 - p). Assume independence between tosses. a) State the sample space. b) Let X be the number of tosses needed to get one head. What is the support (possible values of X)? c) Find P(X = 1), P(X = 2) and P(X = 3). d)...
(a) When you toss an unbiased coin five times, what is the probability that you will obtain exactly 3 heads, and 2 tails? (b) In (a), what is the probability that you will obtain exactly 3 heads, and 2 tails, in that order? (c) When you spin an unbiased die, there are six possible outcomes. What is the probability that you spin an unbiased die once, and you get both a 2, and a 6? What is the probability that in one...
Problem 2. a. You flip a coin and roll a die. Describe the sample space of this experi ment b. Each of the 10 people flips a coin and rolls a die. Describe the sample space of this c. In the erperiment of part b. how many outcomes are in the event where nobody rolled d. Find the probability of the events in part c. What assumptions have you made? experiment. How many elements are in the sample space? a...