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Anarel [89]
3 years ago
12

Two dice are tossed and the magnitude of the difference in the number of dots facing up in the two dice is noted. (a) What is th

e sample space of the event of tossing of the two dice
Mathematics
1 answer:
Airida [17]3 years ago
8 0

Answer:

Sample space S = {0,1,2,3,4,5}

Step-by-step explanation:

We all know that when a dice is tossed, the minimum value that can be obtained is 1 and the maximum value that can be obtained is 6.

Now, when two dice are tossed, the possible cases are:

= \left\{\begin{array}{cccccc}(1,1)&(1,2)&(1,3) &(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3) &(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3) &(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3) &(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3) &(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3) &(6,4)&(6,5)&(6,6)\end{array}\right\}

However, the magnitude of the difference in no. of dots showing up in the two dice is:

= = \left\{\begin{array}{cccccc}(1,1)=0&(1,2)=1&(1,3)=2 &(1,4)=3&(1,5)=4&(1,6)=5\\(2,1)=1&(2,2)=0&(2,3)=1 &(2,4)=2&(2,5)=3&(2,6)=4\\(3,1)=2&(3,2)=1&(3,3)=0 &(3,4)=1&(3,5)=2&(3,6)=3\\(4,1)=3&(4,2)=2&(4,3)=1 &(4,4)=0&(4,5)=1&(4,6)=2\\(5,1)=4&(5,2)=3&(5,3)=2 &(5,4)=1&(5,5)=0&(5,6)=1\\(6,1)=5&(6,2)=4&(6,3)=3 &(6,4)=2&(6,5)=4&(6,6)=0\end{array}\right\}

Thus, the sample space Sample space-related when two dice are tossed & the magnitude is:

S = {0,1,2,3,4,5,}

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3 0
3 years ago
I don’t know how to do it can someone help me?
frozen [14]

Answer:f(g(0))= 1/5

              g(f(0))= 7

Step-by-step explanation:

for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3

                                                                                                    =3

 so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2

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so f(g(0)) is equal to 1/5

Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2

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now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3

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                                                                         =7

so g(f(0)) is equal to 7

Hope this helps:)

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3 years ago
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