(a) If you draw 5 cards, one at a time, placing each card back into the deck and shuffling before the next draw, how many sequences of draws are possible? (b) If you draw 5 cards, one at a time, without placing each card back before drawing the next, what is the probability that one of your 5 cards will be the ice cream cone?

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.

you pick three cards from a deck replacing the card each time before picking the next card. What is the probability that all three cards are jacks?

For an automobile race, drivers draw lots for their starting positions. What is the probability that out of the 73 drivers, three of the four Smith brothers will be chosen to start in the first position, second position, and third position? (Decimal answer please!)

The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a​ three-digit number. ​ (Digits are not​ repeated.) Find the probability that the number is even and greater than 800.

Suppose that you flip a fair coin 6 times in a row and record each results. We want to find the probability that you get both heads and tails.(a) How many different outcomes can you get?(b) How many different outcomes contain both heads and tails?(c) What is the probability that you got both heads and tails?

Suppose that you have 10 coins: 3 dimes, 3 quarters, and 4 nickels. Two coins are selected at random. What is the probability that you choose exactly 30 coins?

If you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a spade and the second one is black? (Enter your probability as a fraction.

In a game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit. Players are dealt a five card hand. What is the probability that a player is dealt 2 hearts? What is the probability that a player is dealt 4 kings?