Draw the Tree diagram that shows two events: Event-1 is rolling a 6-sided die {1, 2, 3, 4, 5, 6} and Event-2 is tossing a penny {H, T}. Then,
a) list all the elements in the Sample Space?
b) is this a uniform Tree?
c) what is the Probability(2, H)?
a) Sample space =
{(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)}
b) Yes, it is a uniform tree.
c) Probability of P(2, H) = 1/12 = 0.0833
Draw the Tree diagram that shows two events: Event-1 is rolling a 6-sided die {1, 2,...
A probability experiment consists of rolling a 6-sided die. Find the probability of the event below. rolling a number less than 5 The probability is nothing. (Type an integer or decimal rounded to three decimal places as needed.)
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...
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...
A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is _______ (Round to three decimal places as needed.)
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
Provide step by step solution. Final answers are given. If a fair 6-sided die is rolled, determine (a) the probability that the result is greater than or equal to 5, (b) the probability that the result is less than 5, (c) the probability of the joint event A and B, where event A is getting an even-valued result and event B is getting a result greater than or equal to 5. (d) For the events A and B just described,...
Construct a tree diagram of a probability experiment where a 6-sided die is rolled, and then a coin is flipped. a. The probability that there was a number greater than 3 and a tail on the coin. b. The probability that there was an even number on the dies and a tail on the coin. Show all the calculation steps
Construct a sample space (list or make a tree diagram of all of the outcomes) for the experiment of a) rolling a 12 sided die and flipping a coin at the same time. Assuming each outcome is equally likely, what is the probability of: DO NOT REDUCE b) rolling a number less than 4 and getting heads? c) rolling an odd number and getting tails? d) rolling a 7 and getting ( heads or tails)
Draw a tree diagram displaying all possible outcomes given a roll of a six sided die, a coin flip, then a second coin flip. Examples of possible outcomes are 5H H meaning a roll of a , then a Heads, and a Heads TH meaning a roll of a 1, then a Tails, then a Heads
Two fair six-sided dice are rolled. What is the probability that one die shows exactly three more than the other die (for example, rolling a 1 and 4, or rolling a 6 and a 3)