Describe about the Coin-Tossing Example.

Simulating dice Assume that you have access to a computer that can randomly generate whole numbers between any two values. Describe how this computer can be used to simulate the rolling of a pair of dice.

5. Multiple choice Exam A student takes a 20-question exam, each question has 3 multiple choices and student guesses on each question. Find the probability of passing if the lowest passing grade is 14 correct out of 20. Would you consider this event likely to occur? Explain your answer.

Suppose you are invited to play a game in which you bet $1 on any number from 000 to 299. If your number comes up, you get $75. Find the expected winnings. Expected winnings = $ (Type an integer or decimal rounded to the nearest cent as needed.)

Select all possible outcomes for spinning the spinner and flipping a fair coin

The Dice game of “Pig” can be played with the following rules. Roll two six-sided dice. Add the face values together. Choose whether to roll the dice again or pass the dice to your opponent. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your opponent had rolled.  Continue to roll as much as you want. However, once a “1” comes up on either die, your score is reduced to 0, leaving you only with points that you have previously "banked." Furthermore, you must pass the dice to your opponent. The first person to 100 points is the winner. When a player rolls two dice, the possible outcomes are as follows:   Die #2 Roll Roll a 1 Roll a 2 Roll a 3 Roll a 4 Roll a 5 Roll a 6 Die #1 Roll Roll a 1 0 0 0 0 0 0 Roll a 2 0 4 5 6 7 8 Roll a 3 0 5 6 7 8 9 Roll a 4 0 6 7 8 9 10 Roll a 5 0 7 8 9 10 11 Roll a 6 0 8 9 10…

In the gambling game "craps", a pair of dice is rolled and the outcome of the experiment is the sum of the points on the up sides of the six-sided dice. The bettor wins on the first roll if the sum is 7 or 11.  The bettor loses on the first roll if the sum is 2,3, or 12.  If the sum is 4,5,6,8,9, or 10, that number is called the bettor's "point".  Once the point is established, the rule is as follows: If the bettor rolls a 7 before the point, the bettor loses; but if the point is rolled before a 7, the bettor wins. (a)List the 36 outcomes in the sample space for the roll of a pair of dice.  Assume that each of them has a probability of 1/36. (b)Find the probability that the bettor wins on the first roll. That is, find the probability of rolling a 7 or 11, P(7 or 11).

Describe about the Alternative Approach to Conditional Probabilities?

How many ways can you roll 2 dice so that the sum of the dots is either 7 or 11?

Section 11 - Topic 5 Probability and Independence 1. The spinner at the left is spun once and a card is drawn from a deck of four cards. 2 3 B A A Part A: Determine if the two events are independent. Justify your answer. Part B: Determine P(3 and A). Part C: Determine P(5 and C). Part D: Determine P(4) and P(B or C). Part E: Determine P(1 and not D). МАTH NATION 4.