Answer: 1/20
To find P(Q and R), you have to multiply P(Q) by P(R) to get the probability that both events will occur. P(Q) = 1/8, and P(R) = 2/5, so when multiplied together, you get 2/40. This simplifies to 1/20, meaning P(Q and R) = 1/20.
First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>

Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>

Therefore,

Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>

Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>

h = 4 inches
Therefore,

Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most
Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.
Let the total number of candies in the bag be = x
Then, Skittles are 
Candies left =
= 
M&Ms are = 
Now remaining candies are= 
Now Life savers are =
Now adding all these 3 candies

=
Now the remaining candies sour patch will be =

Hence, sour patch kids are 
Answer:
Solution given:
y=25 [base side of isosceles triangle]
sin 45=opposite/hypotenuse
sin45=25/x
x=25/sin45
x=25√2