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Player /44502 A month that begins on a Sunday and contains 30 days is shown in t

ID: 3112146 • Letter: P

Question

Player /44502 A month that begins on a Sunday and contains 30 days is shown in the following table sun. | Mon. | Tues. I wed. | Thurs· Fri. Sat, 0 13 14 0 21 27 28 Luke selects a random date from the month. crosses it off the list and then selects another random date. Consider the following events, and then complete the rest of the problem A: The first selected date is a multiple of 8. B The second selected date is a multiple of 4 These events are _Iblank 1L and the probability that event A and event B both occur is Itlank 2L Match each blank with the word or equation that correctly fills in that blank in the previous sentence ind

Explanation / Answer

given the events are

event A : The first selected date is a multiple of 8 i.e probability=3/30

as the date is crossed

event B:the second selected date isa multiple of 4 i.e probability i=6/29

therefore the two events are independent. the combined probability =3/145

ANSWER: [blank 1]=independent

[blank 2]= (3/30)(6/29)=3/145