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masha68 [24]
3 years ago
10

A popular game requires the player to select the same five numbers out of a set of allowed numbers that will be drawn at random

by the lottery commission. For the next game, if you select the five numbers that won in the most recent prior drawing, your chances of winning will:
Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Options:

A.) decrease because the same five numbers are not likely to occur again so soon.

B.) Increase because those five numbers must be lucky.

C.) be unaffected because every set of five numbers is equally likely on every attempt.

D.) be unknown because it depends on how many times those five numbers have won in the last several drawings.

Answer:

be unaffected because every set of five numbers is equally likely on every attempt.

Step-by-step explanation:

Number selection in the lottery is randomized with each set of number having equal chances of being selected. This means that each and every selection attempt is independent and the outcome of each attempt does not depend on any prior outcome or event. This means that if the numbers drawn from the most previous prior drawing are selected on the next attempt, the probability of winning on the next attempt Neither increases nor decreases. Hence , the probability of winning on the next attempt with this selection is unaffected.

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Consider the initial value problem:
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Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
Andy is solving a quadratic equation using completing the square. If a step in the process results in = (x – 6)2, could the orig
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3 years ago
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There are 4 3/8 pounds of bricks in a bag. Each brick weighs 7/8 of a pound. How many bricks are in the bag?
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2 years ago
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In the past month, Josh rented one video game and six DVDs. The rental price for the video game who is $2.50. The rental price f
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Answer:

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Step-by-step explanation:

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3 years ago
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Write the verbal sentence as an equation:
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Answer:

2n-12=7n-15

Step-by-step explanation:

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