We are flipping four coins. Outcomes in the sample space are represented by strings of Hs and Ts such as TTHT and HHTT.a. How many elements are in this sample space?b. Express the event "there are more heads than tails" as a set.c. What is the probability that there are more heads than tails?d. What is the probability that there are an equal number of heads and tails?a. There areelements in this sample space.

The number of coins flipped is 4.

Answered: We are flipping four coins. Outcomes in…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Jean and Paul play three games of pool.They are equal in ability. 1. Find the sample space using a tree diagram to show the possibilities Jean and Paul have to win games. 2. What is the probability that either Jean or Paul wins all three games? Write the number of ways either Jean or Paul wins all three games.(Refer to sample space) 3. What is the probability that either Jean or Paul wins two out of three games? Write the number of ways either Jean or Paul wins two out of three games.(Refer to sample space)
Question 1Suppose we have an experiment that consists of flipping a coin 5 times.i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space?iii. Find the probability that tails will be occurring at least 2 times on three coin flips?iv. Find the probability of getting all Head and all Tail on five coin flips?Question 2A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without replacement. What is the probability that the first ball is red and the second is blue?Question 3Two coins are loaded so that each comes up heads 80% of the time when tossed. If the coins are both tossed simultaneously, i. What probability will the result be both are Tail?ii. What probability will the result give Head and Tail?
Which of the following is not considered probability of two events? A. the probability of an event followed by another event B. the probability that two events happen together C. the probability that an event of another event D. the probability that an event never happen How will you describe when the intersection of two events are subsets of the sample space are aid to be empty? A. mutually exclusive B. intercepted C. inclusive D. complemented
The table gives probabilities for results of flipping six coins. Complete parts (a) through (c) below. Click here to view the table. a. What is the probability that all six tosses are the same (all heads or tails)? The probability is (Simplify your answer.) b. What is the probability that the six tosses are not all the same? The probability is (Simplify your answer.) c. What is the probability of getting two heads and four tails when you toss six coins at once? The probability is. (Simplify your answer.) Data table Result 0 heads, 6 tails 1 head, 5 tails 2 heads, 4 tails 3 heads, 3 tails 4 heads, 2 tails 5 heads, 1 tail 6 heads, 0 tails Probability 1 2- 20 25 52 3|w2|| 64 64 16 15 32
7. Murray spins the pointer of the spinner shown at the right. 5 A a. What is the sample space for the probability model? 3 Y 3. b. What is the probability of each event in the sample space? A 5
A coin is flipped three times and the result is recorded each time. e. i. What is the sample space? ii. List the element elements in the sample space? Write the outcome for the case where you stop flipping the coin as soon as a head is obtained. iii.
Two people are going to buy cars. The cars they want come in green, silver, red, black, or white. How many outcomes are in the sample space. (HINT: write it out, then count.)
The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 12. The probability that the sum of the dice is 12 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 4 or 11. The probability that the sum of the dice is 4 or 11 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 5, 6, or 8. The probability that the sum of the dice is 5, 6, or 8 is (Type an integer or a decimal. Round to three decimal places as…
Suppose we toss a fair coin, with a head (H) on one side and a tail (T) on the other side, four times. a. Specify the sample space. b. Find the probability of obtaining exactly four heads. c. Find the probability of obtaining at least three head.
2. Three guests to a tea party sit down in three chairs. Then the host re-arranges them according to a pre-made seating chart What is the probability that all of the guests may stay in their chairs? (b) What is the probability that at least one guest may stay in her chair? Hint: Just write down all the sample points. Don't try to use counting rules.
Refer to the Venn diagram for events a abs B in an equally likely sample space S. Find the indicated probability P(A intersect B)
Consider the case where six Scrabble tiles labeled A, B, C, D, E, and T are placed in a bag, and then three tiles are drawn from the bag simultaneously. A. Compute the number of possible outcomes (Show your work IN DETAIL). B. What is the probability that the tiles drawn can be used to spell ACT? C. What is the probability that the tiles drawn can be used to spell ACT, BAT, CAT, or TAB?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS