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Thepotemich [5.8K]
4 years ago
13

You roll a number cube three consecutive times. What is the probability that you roll an even number the first two times and a 3

the last time?
Mathematics
2 answers:
ivann1987 [24]4 years ago
7 0

Answer:

1/24.

Step-by-step explanation:

Probability(Rolling an even number)

= 3/6 = 1/2.

Probability(Rolling a 3) = 1/6.

Required Probability = 1/2 * 1/2 * 1/6

= 1/24.

The probabilities are multiplied because the 3 events are independent.

Alex_Xolod [135]4 years ago
4 0

Answer:

1/24

Step-by-step explanation:

A die has 6 faces with numbers 1 through 6. Three faces have even numbers, and 3 faces have odd numbers.

Each roll of the die can result in 6 different outcomes.

The total number different outcomes of rolling a die 3 times is 6 * 6 * 6 = 216.

There are 3 possible even number outcomes on the first roll, and another 3 possible even number outcomes on the second roll. The third roll needs to be a 3, so there is one single desired outcome of the third roll.

Total number of desired outcomes: 3 * 3 * 1 = 9

probability(even, even, 3) = 9/216 = 1/24

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attashe74 [19]
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,

    r = t⁵/t⁸ = t²/t⁵

The answer, r = t⁻³.

The next three terms are,

    n₄ = (t²)(t⁻³) = t⁻¹
    n₅ = (t⁻¹)(t⁻³) = t⁻⁴
    n₆ = (t⁻⁴)(t⁻³) = t⁻⁷

The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively. 
3 0
4 years ago
Read 2 more answers
The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the
ella [17]

Answer:

Mean = 3.9

Step-by-step explanation:

Given

The above table

Required

Determine the mean

The mean is calculated as thus:

Mean = Summation of x * P(x)

So, we have:

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

Mean = 3.89

Mean = 3.9 (approximated)

8 0
3 years ago
Which equation represents a line parallel to the graph of 2x-4y=16
MrMuchimi
First we need to isolate the y in the equation
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4y=2x-16 (divide both sides by -1)
y=1/2x-4 (divide both sides by 4)

The we know the slope of this line is 1/2. I'm not sure what the choices are, but the answer would have to have a slope of 1/2. For example, y=1/2x+2 might be an answer.

Hope this helps
8 0
3 years ago
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Couldn't fit the whole graph but someone please help im so confused ​
yulyashka [42]
(2,0) is the correct answer
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3 years ago
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Mrrafil [7]
I hope this helps you



when x=20 y=30


x=40 y=60


y=40.3/2


y=x.3/2


y=3/2.x
7 0
4 years ago
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