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Sedaia [141]
3 years ago
8

A number cube has sides labeled 1 to 6. Connie rolls the number cube 12 times She rolls a 5

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

¹/24

Step-by-step explanation:

The number of favorable outcomes (rolling a 5) is 3

The total number of possible outcomes is 12 * 6 = 72

Therefore;

P(5) = 3/72

= 1/24

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7 0
3 years ago
Read 2 more answers
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3 years ago
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs
Vilka [71]

Answer: 22,084,920 different clubs

Step-by-step explanation:

The club must have 6 juniors and 8 seniors

We have a total of 13 juniors and 16 seniors.

Now, we know that the possible combinations of N objects into a group of K is equal to:

C = \frac{N!}{(N-K)!*K!}

For the juniors we have N = 13 and K = 6

Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716

For the seniors we have N = 16 and K = 8

Cs = \frac{16!}{8!8!}  = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870

Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:

C = Cj*Cs = 1,716*12,870 = 22,084,920

5 0
3 years ago
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