For questions 7 - 12, consider the experiment of rolling a six-sided die once and recording the outcome. This is a standard die - each of the six sides of the die contains a different number from the set of numbers {1, 2, 3, 4, 5, 6}.
7. Define event A = {1, 2} and event B = {2, 4, 5}. What is A B? (a) {1, 2, 4, 5} (b) {2} (c) {1, 2, 2, 4, 5} (d) {1, 4, 5} (e) none of these responses
8. Refer to question 7. Compute P(A) and P(B). (a) P(A) = 1/2, P(B) = 3/4 (b) P(A) = 3/4, P(B) = 1/2 (c) P(A) = 1/3, P(B) = 1/2 (d) none of these responses
9. Refer to question 7. Compute P(A|B). (a) 1/2 (b) 1/3 (c) 3/4 (d) 2/3 (e) 1
10. Refer to question 7. Compute P(B|A). (a) 1/2 (b) 1/3 (c) 3/4 (d) 2/3 (e) 1
11. Refer to question 7. Are A and B independent? (a) Yes (b) No
12. Refer to question 7. Are A and B mutually exclusive? (a) Yes (b) No
For questions 7 - 12, consider the experiment of rolling a six-sided die once and recording...
1 Suppose that we are conducting an experiment of rolling a fair six-sided die 2 Event E is rolling an even number 3 Event H is rolling a number higher than 3 4 Event L is rolling a number lower than 4 6 6-Find P(E) 7 7-Find P(H) 8 8-Find P(L) 9 9-What is P(EUL) 10 10-What is P(HUL) 11 11-Are E and Lmutually exclusive 12 12-Are H and L mutually exclusive 13 14 15 16 17 18 19 20
Explain your choice of answer to below questions A. Consider rolling a fair die once. Let A be the event of rolling an even number and B be the event of rolling a 3 or 5. Are A and B mutually exclusive? Without any calculations, what can you say about the independence/ dependence of the two events? B. How would you explain the difference between independent and mutually exclusive events for someone who does not have much statistics background
Probability Experiment In Exercises 51-54, a probability experimen consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then tell whether the event can be considered 51. Event A: rolling a 5 and the spinner landing on blue 52. Event B: rolling an odd number and the spinner landing on green 53. Event C: rolling...
You roll a six sided die. Find the probability of each of the following scenarios. A) Rolling a 5 or a number greater than 3 B) Rolling a number less than 4 or an even number C) Rolling a 6 or an odd number. A) P (5 or number > 3)=______ B) P (1 or 2 or 3 or 4 or 6)=________ C) P (6 or 1 or 3 or 5)=________ Type an intger or a simplified fraction.......
3.1.63 A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual Event: rolling a 3 and the spinner landing on red The probability of the event is _______ 3.1.65 Assigned Media Question Help A probability experiment consists of rolling a four-sided die and spinning the spinner shown...
Consider rolling a fair 8 sided die. The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8} Find the following probabilities: Round to 3 decimal places. a. P(2) = b. P(odd number) c. P(not 7) = d. P(less than 6) = e. P(3.5) =
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
Consider rolling a fair 8 sided die. The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8} Find the following probabilities: Round to 3 decimal places. a. P(2) b. Plodd number) = c. P(not 7) = d. P(less than 6) = e. P(3.5) -
1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let A be the event that you roll an even number and B be the event that you flip heads. (a) Determine the sample space S for this experiment. (Hint: There are 12 elements of the sample space.) (b) Which outcomes are in A? (c) Which outcomes are in B? (d) Which outcomes are in A'? What does it mean in words? (e) Which outcomes...
Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.What is P(A), the probability that the six-sided die is an even number?What is P(B), the probability that the four-sided die is an odd number?What is P(A...