Question

In a box containing 10 lamps, 4 of them are damaged. Two lamps are selected, at random, without replacement from the carton. What is the probability that both of the lamps selected are damaged?

16/90 |
||

16/100 |
||

12/90 |
||

12/100 |

Answer #1

In a box containing 10 lamps, 4 of them are damaged.

Two lamps are selected, at random, without replacement from the carton.

We have asked to find the probability that both lamps are damaged.

For first lamp there are 4 damaged lamp in the box. So probability is 4/10

We are not replacing the selected lamp, so now there are 3 damaged lamp in a box.

Hence P( second lamp is also damaged ) = 3/9

Therefore P ( both lamps are damaged ) = ( 4 / 10 ) * ( 3 / 9 ) = 12 / 90

**P ( both lamps are damaged ) = 12 /
90**

Hope this will help you. Thank you :)

A box contains 4 defective and 2 good parts.
Two parts are selected from the box (without replacement), and it
is recorded whether the
selected part is defective or good.
The probability that the first selected part is defective and the
second selected part is good is
__________
The probability that exactly one good part is selected
is__________________
The probability that at least one defective part is selected is
_____________________

A box contains 4 red and 6 black balls. Two balls are selected
one after the other,
a) What is the probability that the first ball selected is black
and the second ball selected is also black, if the selection is
done without replacement.
b) What is the probability that the first ball selected is black
and the second ball selected is red, if the selection is done
without replacement.
c) What is the probability that the first ball selected...

4.3% of the products in a warehouse are damaged. a. If 10
products are randomly selected from the warehouse, what is the
probability that exactly one of them is damaged? Use formulas. b.
If 10 products are randomly selected from the warehouse, what is
the probability that at least one is damaged? Use your calculator.
(State the calculator command used.) c. State the mean and standard
deviation for the number of damaged products in groups of size 10
from that...

A box contains 5 blue, 10 green, and 5 red chips. We draw 4
chips at random and without replacement. If exactly one of them is
blue, what is the probability mass function of the number of green
balls drawn?

Suppose you have a box with 10 red balls, 4 green balls, and 6
blue balls. Answer the following questions. Think about the
questions below. They look similar, but how are they different?
a) You randomly select two balls from the box. What is the
probability of selecting two red balls?
b) Suppose you are asked to draw a ball, return whatever you
picked, and draw another ball. This is called sampling with
replacement. What is the probability of selecting...

From a box of fruit containing 55 oranges and 1 apple a random
sample of 2 pieces of fruit has been selected without replacement.
Let X be the number of oranges and Y be the number of apples in the
sample. What will the covariance of X and Y be?

A box contains 10 red balls, 10 white balls, and 10 blue balls.
Five balls are selected at random, without replacement. Let X be
the number of colors will be missing from the selection. Determine
the probability mass function of X.

Consider a box containing the following numbers.
3, 5, 10, 14, 17
The SD for the box is 5.27.
Suppose 100 draws are made at random with replacement from the
box.
The expected value for the average of the draws is ___ give or
take ___
Find the chance that the average of the draws is less than
10.33. ___
Find the chance that the average of the draws is between 9.27
and 10.33. ___

One ball is chosen at random from a bag containing 12 red balls,
3 yellow balls, and 5 green balls.
i. If 1000 trials are completed (with replacement), about how
many times would you expect to select a red ball?
ii. If two balls are selected at random without replacement,
what is the probability that they are both red? Write your answer
as a decimal rounded to 3 decimal places.

Box I contains 7 red and 3 black balls; Box II contains 4 red
and 5 black balls. After a randomly selected ball is transferred
from Box I to Box II, 2 balls are drawn from Box II without
replacement. Given that the two balls are red, what is the
probability a black ball was transferred?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 7 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 26 minutes ago

asked 26 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 38 minutes ago