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Marysya12 [62]
1 year ago
6

After surveying students in her homeroom, katie decided to use a number cube to predict the probability that a randomly chosen s

tudent in her school planned to stay after school today for extracurricular activities. in katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes. according to katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today? startfraction 1 over 729 endfraction startfraction 1 over 216 endfraction startfraction 1 over 18 endfraction startfraction 1 over 6 endfraction
Mathematics
1 answer:
vfiekz [6]1 year ago
4 0

Using it's concept, it is found that the probability that three randomly chosen students will all stay after school for extracurricular activities today is of \frac{1}{216}.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, for each student, one out of six rolls represent staying after school, hence there is a \frac{1}{6} probability they stay after school. For the three students, the probability is given by:

p = \left(\frac{1}{6}\right)^3 = \frac{1}{216}

More can be learned about probabilities at brainly.com/question/14398287

#SPJ4

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Naddik [55]

Yo sup??

Area of trapezium=1/2*(sum of opposite sides)*(height of trapezium)

=1/2*(12.5+17.5)*6

=1/2*30*6

=90 cm²

Therefore the correct answer is option A

Hope this helps.

8 0
3 years ago
Read 2 more answers
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
1 year ago
Factor b2 + b – 6.
Ulleksa [173]
The answer is A,(b + 3)(b - 2)
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3 years ago
The college basketball team at west texas state university has 10 players; 5 are seniors, 2 are juniors, and 3 are sophomores. t
Tanya [424]
I believe it's 5 out of 10
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3 years ago
What is the area of the shaded figure
Olegator [25]
It’s 64. 16 times 4 = 64
7 0
2 years ago
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