Consider you are in a game of chess. You are black so your opponent is first to move. If all outcomes considered equally likely, what is the probability that your opponent will make an opening in a way he can move one of his bishops for the next turn?
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- 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?