# Ch 2 #30 - #42 Solutions.docx - 30 Suppose that we have 9...

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30. Suppose that we have 9 distinct objects to put in 9 slots and that the 9 slots are partitioned into 3 groups. The first group has 3 slots, the second has 2 slots and the third has 4 slots. How many ways can we put the objects in the slots if we do not care about the order in which they got into the groups? 9! 3!(2!)(4!) ___ ___ ___|___ ___|___ ___ ___ ___ 31. Three cards are selected from a deck of 52 cards. Determine the probability that they are all face cards. Brute Force: 12 12(11)(10) 3 (3)(2)(1) 52(51)(50) 52 (3)(2)(1) 3 12 11 10 52 51 50             33. Four cards are selected from a deck of cards. Determine the probability that all four of them are hearts. 13 12 11 10 52 51 50 49 35. Four cards are selected from a deck of cards. Determine the probability that all four of them are Jacks. 4 3 2 1 52 51 50 49 Section 2.7 Conditional Probability 36. Use the Venn diagram to answer the probability questions. a) ( | ) P A B
.21 .44 b) ( | ) P B A .21 .30 37. Use the table to determine: a) ( | 1) P A G 150 650 b) ( 1| ) P G A 150 945 f) [( 2 3)| ] P G G AB 75/100 38. Given ( ) .15 and P(B)=.55 P A B