3 years ago

Help please! Thanks :)

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

Theres not enough information??? I'd love to help tho

denis23 [38]3 years ago

3 0

Answer:

blah blah blah blah blah blah blah blah blah blah blah

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There are 12 red checkers and 3 black checkers in a bag. Checkers are selected one at a time, with replacement. Each time, the c

Firdavs [7]

I will use the binomial distrubion to find the probability.

$\displaystyle
P(A)=\binom{n}{k}p^k(1-p)^{n-k}$

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

A - selecting a red checker exactly 7 times in 10 selections

$n=7\\
k=10$

$\displaystyle
P(A)=\binom{10}{7}\cdot\left(\dfrac{12}{15}\right)^7\cdot\left(1-\dfrac{12}{15}\right)^{10-7}\\\\
P(A)=\dfrac{10!}{7!3!}\cdot\left(\dfrac{4}{5}\right)^7\cdot\left(1-\dfrac{4}{5}\right)^3\\\\
P(A)=\dfrac{8\cdot9\cdot10}{2\cdot3}\cdot\dfrac{16384}{78125}\cdot\left(\dfrac{1}{5}\right)^3\\\\
P(A)=120\cdot\dfrac{16384}{78125}\cdot\dfrac{1}{125}\\\\
P(A)=\dfrac{393216}{1953125}\approx0.2=20\%$