There are 11 broken lightbulbs in a box of 175 lightbulbs. A random sample of 4 lightbulbs is chosen without replacement. a) How many ways are there to choose the sample? b) How many samples contain no broken lightbulbs? What is the probability that the sample contains no broken lightbulbs?

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

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.

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?