Ask question

Ask question

All categories

3 years ago

11

Jack was getting dressed in the dark and needed to get his socks. There were 18 pairs of socks in the drawer: 8 black pairs, 5 b

rown pairs, 3 blue pairs, and 2 white pairs. If he randomly picks 1 pair of socks from the drawer, what is the probability that he will pick a pair of blue socks?

2 answers:

Scilla [17]3 years ago

3 0

We know that there are total 18 socks, and 3 blue pair
P(picking pairs of blue sock)=
3/18 or 1/6
As a result, the probability that he will pick a pair of blue socks is 1/6. Hope it help!

Wittaler [7]3 years ago

3 0

The probability of picking a blue pair would be 3/18 because there are 18 total pairs of socks and he doesn't put the socks back

You might be interested in

8.3 as a mixed number

Alik [6]

Step-by-step explanation:

8.3 = 8+ 0.3

= 8 + 3/10

= 8 3/10

6 0

3 years ago

Read 2 more answers

A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

So

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

3 years ago

an orange triangular warning sign by the side of the rode has an area of 180 square inches. The base of the sign is 2 inches lon

leva [86]

360 lol hope this helps

7 0

3 years ago

A number is 120 less than 965. Find the number.

Lady bird [3.3K]

Answer:

845

Step-by-step explanation:

I think that's what it's asking??

3 0

3 years ago

Read 2 more answers

Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi

boyakko [2]

The inequality that correctly represents this scenario is given as follows:

$2x + 5y \leq 25$

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: number of chocolate chips purchased.

Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

$2x + 5y \leq 25$

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0

2 years ago