The odds against being dealt a contract bridge hand containing 13 cards of the same suit are

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The odds against being dealt a contract bridge hand containing 13 cards of the same suit are 158,753,389,899 to 1. The odds against being dealt a royal flush while playing poker are 649,739 to 1.

a. What is the probability of being dealt a contract bridge hand containing 13 cards all of the same suit?

b. What is the probability of being dealt a royal flush poker hand?

c. Express the answers to parts a and b in scientific notation (powers of 10).

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