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Dima020 [189]
2 years ago
10

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the pl

ayer wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a players winnings on each roll.
Mathematics
2 answers:
tamaranim1 [39]2 years ago
7 0

Answer:

$30

Step-by-step explanation:

Multiples of 3: 3,6

Expected profit:

⅙(3×20) + ⅙(6×20) + 0

10 + 20 + 0

30

sweet-ann [11.9K]2 years ago
5 0

Answer:

E = 0 x (4/6) + 60 x (1/6) + 120 x (1/6)  = 30

Step-by-step explanation:

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rusak2 [61]
Given: 1 cm = 2 3/4 ft ; kitchen length = 4 1/2 cm
2 3/4 = 11/4; 4 1/2= 9/2

11/4 x 9/2 = 99/8 =12 3/8

OR You could use decimals

2 3/4 = 2.75 ; 4 1/2 = 4.5
2.75 x 4.5 = 12.375
12.375 = 12 375/1000 or 12 3/8
5 0
2 years ago
Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order b
Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) =  P(A) × P(B)

=  0.5 × .7

=  0.35

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=  0.5 + .7 - 0.35

=  0.85

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=  0.5 + .7 - 2×0.35

=  0.5

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=  1 - 0.5

=  0.5

P(B') =  1 - P(B)

=  1 - .7

=  0.3

P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

7 0
1 year ago
How to solve the equation
motikmotik
Answer: c

given volume is 125 cc

cube root of 125 is 5

aka 5×5×5=125

and 6×5×5=150

hence answer is c
5 0
2 years ago
True or false a corollary is a statement that can be easily proved using a theorem
sammy [17]

Answer:

The given statement is true.

Step-by-step explanation:

A corollary is a statement that can be easily proved using a theorem. This statement is true.

A corollary is usually defined as some idea formed from something that is already existing or already been proven.

This is the reason it is not difficult to prove as it has already been proven.

7 0
1 year ago
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed. The probabili
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Animal shelter in Austin is a dog is 11.71% and <span>a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is</span> 29.38%. 
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