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fenix001 [56]
3 years ago
7

A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed

in the correct envelopes?
Mathematics
1 answer:
Burka [1]3 years ago
7 0

1/4 * 1/3 * 1/2 * 1/1 = 1/24 chance that all 4 letters are placed in the correct envelopes.

With the first envelope, there are 4 choices of letters, so the probability of picking the correct letter is 1/4.

With the second envelope, there are 3 remaining letters, so the probability of picking the correct letter is 1/3.

The same logic follows the the third and final letter.

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Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
If 9 people had a some pizza and there was 2 boxes how many pizzas was left
Afina-wow [57]
They are 18 pizzas left
8 0
3 years ago
5 yards 2 feet × 2=​
klio [65]

Answer:

11 1/3 yards or 34 feet

6 0
3 years ago
Read 2 more answers
If x &gt; 1, then which of the following has the LEAST value?
jasenka [17]
What are the answers?
5 0
2 years ago
Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work
boyakko [2]
When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
 f (-1) = 4 * 7 ^ -1
 f(-1) = 4* 1/7
 f (-1) = 0.5714
 The next part of the question is not clear. If it refers to the function at x = 2 then:
 f (2) = 4 * 7 ^ (2)
 f(2) =4*49
 f (2) = 196
 If it refers to it in x ^ 2
 f (x ^ 2) = 4 * 7 ^ (x ^ 2)
3 0
3 years ago
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