Probability questions? 10 points=)?
Frances is running a roulette wheel at a gambling casino. The wheel is divided into even slots numbered 1 through 64 and a small marble is dropped on the wheel as it is spinning. If a player chooses a number and the marble comes to a rest on that number the player wins the jackpot. What is the probability of winning the jackpot two times in a row?
Fred and Joann are playing a game with one six-sided die. Joann needs to roll a 4, 5 or 6 on her next try to win the game. What is the probability she will win the game on her next roll?
Sam is playing a game with a deck of cards. There are 52 cards in the deck and 4 of them are aces. If Sam shuffles the cards, picks one card and keeps it, then picks another card, what is the probability he will pick two aces in a row?
THANKS YOU!
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1) The probability of winning the jackpot is 1/64. The probability twice in a row is 1/64^^2, or 1/4096.
2)Six possible rolls. Three winning rolls. Think a little harder. This one is really too easy to need help on.
3) Probability of an ace the first time is 1/13. That leaves a deck with 51 cards and 3 aces, so the probability of drawing another is 1/17. So two in a row is 1/221.
Roulette: 1/64 times 1/64 = 1/4096
Each spin has a 1 in 64 chance of hitting the jackpot. Multiply the probability of hitting the first spin by the probability of hitting the second spin.
Dice: 3/6 or 1/2
There are 3 numbers out of 6 that will give Joann the win.
Cards: 4/52 times 3/51 = 12/2652 = 1/221
The odds of drawing an ace out of a full 52 card deck are 4/52 or 1/13.
If you draw an ace and keep it, then there are now 3 aces in a 51 card deck, so the probabilty of drawing the second ace is 3/51 or 1/17. Multiply to get the probability of drawing two aces.