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1B. [41 Points] DETAILS WANEFMAC? 7.4.057. MY NOTES ASK YOUR TEACHER A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specied type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations} 12. [011 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 7.4.037. A bag contains four red marbles, three green ones, one lavender one, three yellows, and three orange marbles. HINT [See Example 7.] How many sets of five marbles include at least three red ones? -x Need Help? 13. [11 Points] DETAILS WAN EFMAC7 7.4.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A bag contains three red marbles, two green ones, one lavender one, three yellows, and three orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors? Need Help? ... ..... ......-. m- MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If a die is rolled 40 times, there are 64\" different sequences possible. The following question asks how many of these sequences satisfy certain conditions. What fraction of these sequences have exactly ve 15? (Round your answer to four decimal places.) - Need Help? 15. [011 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 7.4.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If a die is rolled 30 times, there are 63":I different sequences possible. The following question asks how many of these sequences satisfy certain conditions. HINT [Use the decision algorithm discussed in Example 3 of Section 7.3.] What fraction of these sequences have exactly seven 55 and seven 65? (Round your answer to ve decimal places.) -x