Math115a Probability and Sets Worksheet #1 Name: _______________________Reyes1. Let V be the event that a tourist visited a certain museum and let S be the event that the tourist went to a sporting event. ( ) 0.35, ( ) 0.59, ( ) 0.16P V P S P V S Use the above information to find (i.) the probabilities, (ii.) the correct notation, and (iii.) to draw a Venn diagram illustrating each item. First draw a Venn diagram by filling in the probabilities.a. The probability that a tourist visited a museum or went to a sporting eventi. ii. iii.b. The probability that a tourist did not visit a museumi. ii. iii.c. The probability that a tourist did not visit a museum and did not go to a sporting eventi. ii. iii.d. The probability that a tourist did not visit a museum and went to a sporting eventi. ii. iii.e. The probability that either the tourist went to a museum or a sporting event, but did not do both.i. ii. iii.2. There are 25 students in a class. Let B be the event that a student is a business major and F be the event that a student is female.Explain the following events in words without the use of “opposite, “complement”, “union” or“intersection”.a.cBb.cFc.cB Fd. cB Fe.c cB Ff.cB FDraw a Venn diagram using the following probabilities:( ) .65, ( ) .5, ( ) .75P B P F P B F 3. Find the following probabilities and show the basic probability properties used to find them. Use the Probabilities given in #2.a.( )P F Bb. cP B F c.( )c cP B Fd.( )cP B F4. Answer the following and show work:a. Are B and F mutually exclusive?b. Are cB and cF mutually exclusive?c. Are B and cB mutually exclusive?5. Let B be the event that a student reads Business Week and let F be the event that a student reads Fortune. Explain the following events in words without the use of “opposite, “complement”, “union”or “intersection”.a.cBb.cFc.cB Fd. cB Fe.c cB F6. Draw a Venn diagram using the following probabilities:( ) .45, ( ) .5, ( ) .65P B P F P B F 7. Find the following probabilities and show the basic probability properties used to find them. Use the Probabilities given in #6.a.( )P F Bb. cP B F c.( )c cP B Fd.( )cP B Fe. ( )c cP B F F B 8. Answer the following and show work:d. Are B and F mutually exclusive?e. Are B and cF mutually exclusive?f. Are B and cB mutually
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