Five marbles are selected at random without replacement from a jar containing fo
ID: 3182626 • Letter: F
Question
Five marbles are selected at random without replacement from a jar containing four white marbles and six blue marbles. Find the probability of the given event. () All of the marbles are blue. A 6-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards. (Round your answer to 3 decimal places) no spades Three cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. (Round your answer to four to decimal places.) Three cards of the same suit are drawn. A box has 7 marbles, 4 of which are white and 3 of which are red. A sample of 5 marbles is selected randomly from the box without replacement. What is the probability that exactly 3 are white and 2 are red? (Enter your answer as an exact fraction.).Explanation / Answer
1. P(All blue) = 6C5 / 10C5 = 1/42 = 0.024
2. P(No spade) = 39C6 / 52C6 = 0.160
3. P(Three cards of same suit = (4C1 * 13C3) / (52C3) = 0.0518
4. P(3 white and 2 red) = (4C3 * 3C2) / 7C5 = 4/7
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