Are the events disjoint? st Rolling a die once and getting a 6. Rolling a die...
The following pair of events in rolling a die experiment are mutually exclusive except: A/ Getting odd or even. B/ Getting an odd number or a number less than 4. C/ Getting a number that is less than 3 or more than 4. D/ Getting a number that is more than 7 or even number. E/ None
Are the two events below disjoint (mutually exclusive) for a single trial? • Rolling an odd number with two dice. • Rolling a factor of 12 with two dice. Select one: o a. No, they are not disjoint. b. Yes, they are disjoint.
A) The following pair of events in rolling a die experiment are mutually exclusive except Getting odd or even. None Getting a number that is more than 7 or even number. Getting an odd number or a number less than 4. Getting a number that is less than 3 or more than 4 B) The probability of drawing three hearts with the replacement from a standard deck is?
a. What is the theoretical probability of rolling one die and getting a 5 ? b. What is the theoretical probability of rolling one die and getting a 3 or a 4? c. What is the theoretical probability of rolling one die and not getting a 6? d. What is the theoretical probability of rolling one die and getting a 7 ?
You are tossing three fair coins and rolling one fair die, find the probability of getting a. two heads on the three coins b. rolling an even number on the die c. getting two heads on the coins and an even number on the die d. getting two heads on the coins or an even number on the die
1. An experiment consists of rolling a die once. The experiment is interested in the event: an even numbered face comes up. (a) How would you define a random variable so that it would be Bernoulli? (b) Is it necessary for the die to be fair? Explain. (c) If the die is fair, what is p? (d) If the die is biased such that an even face is three times as likely to come up as an odd face, what...
What is the probability of rolling a die 3 times and rolling a one twice and a three once? In a family of 4 children, what is the probability of getting 3 girls and 1 boy? What is the probability of rolling a 6 or a 4 in the first roll of a die? Please show work and math how you did it to help with the explanation!
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
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
X is a Random variable representing the outcome of rolling a 6-sided die. Before the die is rolled, you are given two options: (a) You get 1/E(X) in Points right away. (b) You wait until the die is rolled, then get 1/X in Points. Which option is better in getting Points?