Replacement or without replacement

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1. An urn contains four black, four white, and four blue balls. Three balls are drawn at random from the urn. Is it more likely that the balls will all be of the same color if sampling is with replacement or without replacement?

2. Find the probability that a randomly selected bridge hand will be void in at least one suit.

3. Find the probability that a randomly selected bridge hand will con- tain exactly five cards of at least one suit.

4. Cards are taken out one at a time from a well-shuffled deck. What is the probability that it will take at least five and at most ten draws to take out the first club?

5. A fair coin is tossed six times. Given that there are at least three heads, what is the probability that there are exactly four heads?

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