A dice A has four red faces and two white faces. A dice B, vice-versa, has two aces and four white faces. You flip a coin once, if heads the game continues dice A, otherwise it continues with dice B. a) On rolling the dice, what is the pability that a red face appears on the dice? b) and at the second rolling of the e dice? c) If the first two rollings show a red face, what is the probability that on the third rolling is red? d) If the first n rollings show a red face, what is the pability that you are using dice A?

In a game, two coins are tossed. If either of the coins comes up heads, you have won a prize. To claim the prize, you must point to one of your coins that is a head and say 'look, that coin's a head, I've won'. You watch Fred play the game. He tosses the two coins, and he points to a coin and says 'look, that coin's a head, I've won'. What is the probability that the other coin is a head?

Emma and Eddie both want to choose their family's dinner entrée. Emma prefers burgers, and Eddie would like to order pizza. To determine who gets to pick, their dad suggests rolling a pair of fair dice. If the sum of the dice is 4 or 10, then Emma will pick dinner. If the sum is 2, 3, 11, or 12, then Eddie will pick dinner. They will roll the dice again if any other number is rolled. Is this a fair way to decide? Explain.(Hint: There are 21 total possibilities when rolling a pair of dice.) a No, it is not fair because there is a higher probability of rolling 2, 3, 11, or 12, so Eddie will most likely choose dinner. b Yes, it is fair because both Emma and Eddie have an equal probability of choosing dinner. c No, it is not fair because there is a higher probability of rolling 4 or 10, so Emma will most likely choose dinner. d No, it is not fair because there is a greater probability that they will roll a number other than 4, 10, 2, 3, 11, or 12.

Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 500 dollars. If the player picks out a ball with a consonant on it, the player wins nothing.   What fee should be charged to play this game in order for it to be considered a fair game?

1what are the chances that the runn ers from Detroit and Kiercrest will finish Ist and 2nd, regardless of the acler? Thae ae a runners in the finals of the district 100 mekr race. TThree of the FrUnners are from Clarksulle, two and from Linden- Kildare, oneis from Delvait, one is from hiverenest and two are rom Naud What are the Chances that the winner of the race will vbe fream Clarksuille a lik2

a game of chance played historically by Canadian Indians involved throwing eight flat beans into the air and seeing how they fell. The beans were symmetrical and were painted white on one side and black on the other. The bean thrower would win one point if either 0 or 8 white beans came up, and would lose one point for any other configurations. Does the bean thrower have the advantage in this game?