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6.1 Probability exercises

6.1 Probability exercises. Def. Def: If S is a finite sample space of equally likely outcomes, and E is an event, that is, a subset of S, then the probability of E is P(E)= |E|/|S|.

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6.1 Probability exercises

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  1. 6.1 Probability exercises

  2. Def • Def: If S is a finite sample space of equally likely outcomes, and E is an event, that is, a subset of S, then the probability of E is P(E)= |E|/|S|. • Thm. 1: Let E be an event in a sample space S. The probability of the event , the complementary event of E, is given by P( ) = 1- P(E).

  3. Ex • Ex. 1: What is the probability that a five-card poker hand contains the ace of hearts? • Ex. 2: What is the probability that a five-card poker hand contains the two of diamonds and the three of spades? • Ex 3: What is the probability that a five-card poker hand contains exactly one ace?

  4. Ex • Ex 4 What is the probability that a five-card poker hand contains at least one ace? • Ex 5: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit? • Ex 6: Find the probability of winning the lottery by selecting the correct six integers, where the order in which these integers are selected doesn’t not matter, from the positive integers not exceeding 36.

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