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3 years ago

A bag contains 6 red balls and blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.

1 answer:

8 0

Another way is to note that there are (104)(104) (“10 choose 4”) ways to select 4 balls from a collection of 10. If 4 of those 10 balls are “special” in some way (in this case, “special” = “red”), then the number of ways to choose 4 special balls is (44)(44). (The factor of (60)(60) is included to convey that, after choosing 4 special balls, we choose none of the 6 non-special balls.) This line of reasoning gives the second expression.

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Real estate ads suggest that 75 % of homes for sale have garages, 29 % have swimming pools, and 13 % have both features. What

Vedmedyk [2.9K]

Answer: a) 91% b) 9% c) 16%

Step-by-step explanation:

Let A be the event that homes for sale have garages and B be the event that homes for sale have swimming pools.

Now, given : $P(A)=75\%=0.75$

$P(B)=29\%=0.29$

$P(A\cap B)=13\%=0.13$

a) $P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow\ P(A\cup B)=0.75+0.29-0.13=0.91$

Hence, the probability that a home for sale has a pool or a garage is 91%.

b) The probability that a home for sale has neither a pool nor a garage is given by :-

$1-P(A\cup B)=1-0.91=0.09$

Hence, the probability that a home for sale has neither a pool nor a garage is 9%.

c) The probability that a home for sale has a pool but no garage is given by :-

$P(B)-P(A\cap B)=0.29-0.13=0.16$

Hence, the probability that a home for sale has a pool but no garage is 16%.

8 0

3 years ago

There are 100 students in a hostel. Food provision for them is 20 days.How long will these provision last if 25 more students jo

Anvisha [2.4K]

Currently 100 students can eat for 20 days, so we need to find the number of days 125 students can eat.

Originally:
100 students eat for 20 days

New:
125 students eat for x days. Multiply original number of students by original number of days which will give the total amount of students per day. Then divide the total amount of students per day by the new number of students to find the new number of days.

x= (100 students * 20 days)/ (100+25)
x= (100 * 20)/ 125
x= 2000/125
x= 16 days

ANSWER: 125 students can eat for 16 days.

Hope this helps! :)

4 0

3 years ago

A rectangle has a length 3 times the width. What is the perimeter in terms of x?

Marina CMI [18]

Answer:

Perimeter is equal to all four sides added together.

Length = 3W; L=3W

P = 2(W) + 2(L) substitute the equation for length above you get

P = 2(W) + 2(3W) and combine

P = 2W + 6W = 8W; put in what the perimeter is and solve for W

66 = 8W, so W = 8.25

W = 8.25, L = 24.75

7 0

3 years ago

I need help please. Assume that one dollor is equal to 1.14 euros. If 500 g of an item is selling for 25 euros, what is its pric

viva [34]

The item should cost 43,85 $

8 0

3 years ago

Ten increased by the quotient of a number and 6 is 5

jonny [76]

Let the required number be x, then 10 + x/6 = 5
x/6 = 5 - 10 = -5
x = 6 x -5 = -30
x = -30

5 0

3 years ago