An automobile manufacturing plant produced 35 vehicles today: 19 were motorcycles, 9 were vans, and 7 were sedans. (Each vehicle falls into only one of these categories.) Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that the first vehicle selected is a motorcycle and the second vehicle is a sedan? Do not round your intermediate computations. Round your final answer to three decimal places. (If necessary, consult a list of formulas.)

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 a group of four students, what is the probability that at least two have the same astrological sign?

You draw one card at random from a standard deck of 52 playing cards. What is the probability that the card is either an ace or a spade?