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motikmotik
3 years ago
15

In a game of chance, two pyramid-shaped, four-sided dice (with sides 1, 2, 3, 4). one colored red and the other colored green, a

re rolled and their individual totals are added. If the sum of the 2 four-sided dice exceeds 5 (result from red die + result from green die > 5), the roller wins. If the sum is 5 or less, the roller loses. What is the probability of winning on a single play?
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

0.25 or 25%

Step-by-step explanation:

There are 4 possible outcomes for each die, which gives us 16 possible combinations (4 x 4). In order for the sum to exceed 5, the possible outcomes are:

Red = 3, and Green = 3

Red = 3, and Green = 4

Red = 4, and Green = 3

Red = 4, and Green = 4

Therefore, the probability of winning on a single play is:

P=\frac{4}{16}\\P=0.25

The probability is 0.25 or 25%.

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sasho [114]

Answer:

Step-by-step explanation:

I take it that this is some sort of ratio.  Start by solving the brackets on the left.

Brackets: 1/3 - 1/10

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Brackets: 7/30

Brackets^2: 49/900

Brackets^2 - 1/5: 49/900  - 180/900

Brackets^2 - 1/5: -131/900

(2/5)^2 = 4/25

The way this read, it should be

\frac{\frac{-131}{900} }{\frac{4}{25} }

Which when you invert and multiply becomes

\frac{-131}{900} * \frac{25}{4}

which finally becomes

\frac{-131}{144}

7 0
3 years ago
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Answer:

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5 0
3 years ago
Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h
Ksivusya [100]

Answer:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

Solution to the problem

For this case we want this probability

P(X=4)

And using the probability mass function we got:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

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3 years ago
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UNO [17]

Answer:

Step-by-step explanation:

cos theta is 2/3 because  cos means reciprocal of sec

7 0
3 years ago
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Ber [7]
The correct answer for the question that is being presented above is this one: "​0.5" <span>The probability that a normal random variable is less than its mean is 0.5. In a normal distribution, 1.0 refers to the one that is stable and is in equilibrium.</span>
7 0
3 years ago
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