A die is loaded so that the number 6 comes up three times as often as any other number. what is the probability of rolling a 1 or a 6?
Answers
The probability of rolling a value of 1 or 6 for the unfair die ls 1/2
The probability of an event is given as :
P(event) = Required outcome / Total possible outcomes
Let the probability of other numbers on the die = n
Therefore, Probability of 6 = 3n
The Cummulative probability can be expressed thus since the Cummulative sun must be equal to 1 :
Other values on the die are 5 ; 1, 2, 3, 4, and 5
5n + 3n = 1
8n = 1
n = 1/8
The probability of other numbers = 1/8
Probability of 6 = 3(1/8) = 3/8
Probability of (1 or 6) = P(1) + P(6) = 1/8 + 3/8 = 4/8 = 1/2
Therefore, the probability of obtaining 1 or 6 is 0.5
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Answer:
1/2.
Step-by-step explanation:
Probability totals must add up to 1.
P = probability.
If P(any number other than 6) = x, then P(6) = 3x, so
3x + 5x = 1
x = 1/8
P(6) = 3/8 and P(not 6) = 1/8
Therefore P(6 or 1) = 3/8 + 1/8 = 1/2 (answer).
Related Questions
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You are traveling at 58 miles per hour in a 70 km per hour speed zone. How fast are you traveling in km per hour?
Explain the steps necessary for solving the following equation. x^2-8x-20=0
What is the study of mathematical probabilities, distributions and deviations?
Answers
Answer:
$7.08
Step-by-step explanation:
59 cents = 1 sq ft
? = 12 sq ft
To get from the 1 to the 12 we multiply by 12, so we must do the same to the 59 cents.
0.59 * 12 = 7.08
Therefore, the cost of 12 sq ft is $7.08.
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Answers
Answer:
D
Step-by-step explanation:
If then we can consider right triangle with adjacent leg 4 un. and opposite leg 3 un.. By the Pythagorean theorem,
So,
Answer:
The correct answer is option d
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
The correct answer is option d
Csc θ = 5/3
2/3x-5=3/4
Answers
Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
Answers
6/400 = 16/x ....6 hrs to 400 = 16 hrs to x
this is a proportion, so we cross multiply
(6)(x) = (400)(16)
6x = 6400
x = 6400/6
x = 1066.67 <==
On Plato, the answer is 3253.
Answers
8000 homes
color flyers : $0.08 each
black and white flyers : $0.05 each
budget of $500
c + b = 8,000
0.08c + 0.05b = 500
c = 8,000 - b
0.08(8,000 - b) + 0.05b = 500
640 - 0.08b + 0.05b = 500
-0.03b = 500 - 640
-0.03b = -140
b = -140 / -0.03
b = 4,667 black and white flyers
c = 8,000 - b
c = 8,000 - 4,667
c = 3,333 colored flyers
0.08(c) + 0.05(b) = 500
0.08(3,333) + 0.05(4,667) = 500
266.64 + 233.35 = 500
499.99 = 500
500 = 500
Answers
Answer:
Area = y² + 2x + 1
Step-by-step explanation:
You have to combine like terms:
The little square is 1 unit, so 1
The two bars are each worth x, so 2 * x = 2x
The big square is y²
The total area is the sum of all terms:
Area = y² + 2x + 1
-Chetan K