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sergij07 [2.7K]
3 years ago
6

emmanuel wants to buy a ticket to see his favorite basketball team during the upcoming season. the season includes 14 games in o

ctober, 13 games in November, 12 games in december, and 15 games in January. If he randomly is given one of those games in those 4 months what the is the probability the game will be in December
Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

22.22% probability the game will be in December

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

14+13+12+15 = 54 games.

Of those, 12 are in December.

So

12/54 = 0.2222

22.22% probability the game will be in December

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       2b                     2a
----------------- +  -----------------
   (b+a)^2            (b^2 - a^2)

            2b                     2a
= ----------------- +  -------------------
      (b+a)(b+a)         (b+a)(b-a)

         2b(b - a) +  2a(b + a)
= ------------------------------------
           (b+a)(b+a)(b-a)


         2b^2 - 2ab  +  2ab + 2a^2
= ---------------------------------------
           (b+a)(b+a)(b-a)

         2b^2 + 2a^2
= ------------------------
        (b+a)(b+a)(b-a)

         2(b^2 + a^2)
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        (b+a)^2 (b-a)

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