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1 year ago

Two dice are rolled. What is the probability of rolling a three on one and a four on the other? Express the answer as a reduced

fraction.
and please explain your answer.

Mathematics

1 answer:

Drupady [299]1 year ago

6 0

$|\Omega|=6^2=36\\A=\{(3,4),(4,3)\}\\|A|=2\\\\P(A)=\dfrac{2}{36}=\dfrac{1}{18}$

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Select the statement that best justifies the conclusion based on the given information.

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Hope this helps but I think it is A.)addition property of equality.

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3 years ago

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A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,

Irina18 [472]

9514 1404 393

Answer:

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

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p = (-3, -4) +t(28, 42)

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where t takes on any value between 0 and 1.

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2 years ago

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Answer:

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2 years ago

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A plane is flying at 35,000 feet. it ascends 1,500 feet to avoid turbulence. it decends 3/5 of its new height to prepare for lan

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2 years ago

In Vancouver, British Columbia, the probability of rain during a winter day is 0.42, for a spring day is 0.23, for a summer day

nadezda [96]

Answer:

31.82% probability that this day would be a winter day

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening

In this question:

Event A: Rain

Event B: Winter day

Probability of rain:

0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).

$P(A) = 0.42*0.25 + 0.23*0.25 + 0.16*0.25 + 0.51*0.25 = 0.33$

Intersection:

Rain on a winter day, which is 0.42 of 0.25. So

$P(A \cap B) = 0.42*0.25 = 0.105$

If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?

$P(B|A) = \frac{0.105}{0.33} = 0.3182$

31.82% probability that this day would be a winter day

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2 years ago