1. Supposed a coin is tossed many times with P(Head) = P₁ P(Tail) = q where p + q = 1, p > 0, q> 0. Let N = the first time the coin is a Head. Determine which is the better bet, N = odds or N = evens.

Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and 1 beige cubes

Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggs

In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?