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True [87]
3 years ago
11

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which TH

REE statements are correct for the outcome of the event? A) The probability of drawing the black card is 1/2 B) The probability of drawing the diamond is 1/4 C)The probability of the compound event is 1/6 D) The probability of the compound event is 1/8 E) The probability of the compound event is 3/4 ​
Mathematics
1 answer:
ladessa [460]3 years ago
4 0
A, B, D

A: because there are two colour types in a deck of cards, so it’s 1/2 probability of getting a black one.

B: because there a four suits in a deck of cards, so the probability of getting a diamond is 1/4

D: because when calculating compound events we multiply the two probabilities,
so 1/2 x 1/4 = 1/8

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If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set
Oksana_A [137]

The probability of choosing a number that is not a multiple of 2 is P = 0.44

<h3 /><h3>How to find the probability?</h3>

We need to count the number of options for each digit.

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

  • For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
  • For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
  • For the third digit, we have 4 options {1, 3,  5, 7}.

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0
2 years ago
Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis
katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

\frac{1}{\lambda}  = 13

\lambda = \frac{1}{13}

As we know,

The cumulative distributive function will be:

⇒ 1-e^{-\lambda x}

hence,

In the first 5 years, the probability of failure will be:

⇒ P(X

                    =1-e^{-(\frac{1}{13} )\times 5}

                    =1-e^(-\frac{5}{13})

                    =1-0.6807

                    =0.3193

3 0
3 years ago
Round 24.99 to the nearest tenth
klasskru [66]
A tenth of 24.99 would be the first 9 after the point. In order to round it to the nearest tenth, we must look at the number after it. If that number is 5 or above, we must make the tenth one higher. In this case, the number after the tenth is above 5, so we change the tenth to a 1! Now the number becomes 25.00
5 0
3 years ago
Ted and Meg have each drawn a line on the scatter plot shown below:
expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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8 0
3 years ago
Read 2 more answers
Does anyone know how to answer this?
max2010maxim [7]
Given that
The length of the rectangle 4cm and the breadth is 3cm
Area of rectangle= length * breadth
Area= 4*3
= 12cm^2
Hope it helped
3 0
2 years ago
Read 2 more answers
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