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kow [346]
3 years ago
7

Adam has 10 blocks numbered 1 through 10. Which describes the probability of randomly choosing a block that has an even number?

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given that:

10 number of blocks which have numbers from 1 through 10.

To find:

Probability of randomly choosing a block that has an even number.

Solution:

The given set of numbers is: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

There are a total of 5 Even numbers are {2, 4, 6, 8, 10}.

And There are a total of 5 Odd number are {1, 3, 5, 7, 9}.

Formula for probability of an event <em>E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, Event <em>E </em>is randomly choosing an even number.

Number of favorable cases = 5

Total number of cases = 10

Therefore, the required probability is:

P(E) = \dfrac{5}{10}\\\Rightarrow P(E) = \dfrac{1}{2}

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The probability that an event will occur is 2/3. which one of these best describes the likelihood of the event occurring?
Andrej [43]

Answer:

Step-by-step explanation:

Alright, lets get started.

The probability that an event will occur is 2/3.

Means out of 3 times, 2 times that event will occur.

Please refer the pie chart for this, blue is the color which represents event to be occur and orange is not to be occur.

We can see, blue part is much more than orange part.

means the likelihood of event occuring is LIKELY.   :  Answer

Hope it will help :)


4 0
3 years ago
Who ever solves this is a math wiz
WINSTONCH [101]
1. X=3, 2. X=4, 3. X= 95/2
6 0
3 years ago
Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

7 0
3 years ago
1. How many planes are shown in the figure?
g100num [7]

Answer:8 planes are shown in the figure

Step-by-step explanation:

5 0
3 years ago
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U-94<br> ——- = -2<br> -2<br> What is the answer to this question?
Tamiku [17]

u-94=0

u=94

because -2 and -2 will reduced

4 0
3 years ago
Read 2 more answers
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