1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let...
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...
If I flip a coin and roll a six sided die simultaneously, the SAMPLE SPACE of this experiment holds ________ possible unique outcomes. A.36 B.24 C.12 D.8
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
If you flip a coin and roll a die at the same time, what is the probability of rolling a 5 or 6 and the coin showing heads? Question 3 Unanswered If you flip a coin and roll a die at the same time, what is the probability of rolling a 5 or 6 and the coin showing heads? (answer to 4 decimal places) Type your response
Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin. If “4, 5 or 6” occurs, roll 6-sided dice again. What is the sample space of this experiment, Show with the tree diagram technique. How many sample points are in the sample space? What is the probability that flips results in a head?
You roll a 6-sided die. What is the probability that you will roll either a 3 or a 2? P (3 or 2) = You flip a 2-sided coin. What is the probability that you will get either heads or tails? P (heads or tails) =
You flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll one six-sided dice. What is the chance that you roll a 4? (If you rolled two dice, rolling a 4 means the sum of the dice is 4) O 1 2 3 36 1 2 1 6 + + 1 4 36 1 6 2 2 1 36 + -10 2 . 4 36 + 4 6 2 2
A2. (a) We roll a fair die twice. Describe a sample space to model this experiment. C4. Consider Problem A2 (a) in Homework 1. Suppose that all the outcomes in the sample space are equally. Let Ai be the event that the sum of the two numbers is greater than 9. Let A2 be the event that both numbers are identical (a) Construct a probability model for this experiment (Specify the general (b) List the outcomes in event A1, and...
Show all steps1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 4. Consider the experiment of flipping a coin 5 times and keeping track, in order, what the outcomes were. Recall that the sample space S is the set of all outcomes. (For example, HTHHT is in S.) a) (I point) If event A is the subset of all outcomes in S which start with 3 heads in a row, write out the list of outcomes in A b) (1 point) If event B is the subset where...
We flip a coin. If it is heads we roll a four sided die with sides numbered from 1 to 4. If it is tails, we roll a six sided die with sides numbered from 1 to 6. We let X be the number rolled. (a) What is the expectation of X? (b) What is the variance of X? (c) What is the standard deviation of X? We draw cards one by one and with replacement from a standard deck...