Two fair dice are tossed, and the face on cach de is oberved. Use a tree disgram to find the 36 ample points coetained in the sample spoce.b Assign probabities te the sample points in purtae Find the peobubity of cach of the following eventsA-(3 showing on cach die)B- (m of two mumbers shouing is 7)C- (um of rwo numbers showing is evem)d. Also, for evets A, B, andC. which one is simple event, which one is cempoundevent?e Event D- A. Event D and event C independent or not? Event D and event Bmutually exclusive or notf. Consider event D and event C, Find the probability of cach of the followingevents p(Dn) P(DUC), p(DIC).p(C'iD').p(D'nc)

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Asked Feb 20, 2020
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A&B&C&D&E&F

Two fair dice are tossed, and the face on cach de is oberved
. Use a tree disgram to find the 36 ample points coetained in the sample spoce.
b Assign probabities te the sample points in purta
e Find the peobubity of cach of the following events
A-(3 showing on cach die)
B- (m of two mumbers shouing is 7)
C- (um of rwo numbers showing is evem)
d. Also, for evets A, B, andC. which one is simple event, which one is cempound
event?
e Event D- A. Event D and event C independent or not? Event D and event B
mutually exclusive or not
f. Consider event D and event C, Find the probability of cach of the following
events p(Dn) P(DUC), p(DIC).p(C'iD').p(D'nc)
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Two fair dice are tossed, and the face on cach de is oberved . Use a tree disgram to find the 36 ample points coetained in the sample spoce. b Assign probabities te the sample points in purta e Find the peobubity of cach of the following events A-(3 showing on cach die) B- (m of two mumbers shouing is 7) C- (um of rwo numbers showing is evem) d. Also, for evets A, B, andC. which one is simple event, which one is cempound event? e Event D- A. Event D and event C independent or not? Event D and event B mutually exclusive or not f. Consider event D and event C, Find the probability of cach of the following events p(Dn) P(DUC), p(DIC).p(C'iD').p(D'nc)

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Expert Answer

Step 1

"Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved."

(a)

The tree diagram showing the sample points are given below:

Statistics homework question answer, step 1, image 1

The sample space containing the 36 sample points when rolling two dices are,

Statistics homework question answer, step 1, image 2

Thus, the 36 sample points are stated.

Step 2

(b)

The probabilities assigned to each of the 36 sample points are,

Statistics homework question answer, step 2, image 1

Thus, each sample point has a probability 1/36.

Step 3

(c)

The probability of event A, 3 showing on each die is,

Statistics homework question answer, step 3, image 1

Thus, the probability of 3 showing on each die is 1/36.

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