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konstantin123 [22]
2 years ago
9

Find the probability of rolling a prime number when a 16-sided die is rolled.

Mathematics
2 answers:
Aleksandr-060686 [28]2 years ago
8 0

Step-by-step explanation:

If the given dice is 16-sided, then it would contain following numbers:-

<em>1</em><em>,</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em>,</em><em>5</em><em>,</em><em>6</em><em>,</em><em>7</em><em>,</em><em>8</em><em>,</em><em>9</em><em>,</em><em>1</em><em>0</em><em>,</em><em>1</em><em>1</em><em>,</em><em>1</em><em>2</em><em>,</em><em>1</em><em>3</em><em>,</em><em>1</em><em>4</em><em>,</em><em>1</em><em>5</em><em>,</em><em>1</em><em>6</em>

<em>We </em><em>know </em><em>that,</em><em> </em><em>the </em><em>numbers </em><em>which </em><em>aren't</em><em> </em><em>divisible</em><em> </em><em>by</em><em> </em><em>any </em><em>numbers</em><em> </em><em>except </em><em>itself </em><em>and </em><em>1</em><em> </em><em>are </em><em>prime </em><em>numbers.</em>

Out of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

the prime numbers are as follow:-

<em>2</em><em>,</em><em>3</em><em>,</em><em>5</em><em>,</em><em>7</em><em>,</em><em>1</em><em>1</em><em>,</em><em>1</em><em>3</em>

Here, the number of prime numbers are <em>6</em><em>,</em>

Therefore, the probability of rolling a prime number when the dice is rolled is

  • 6/16=3/8

Hence, option B. is the correct answer.

Katen [24]2 years ago
4 0

Answer:

6/16

Step-by-step explanation:

On a 16 sided die there would be number as follows :

1,2,3,.. 16 The prime number out in this set of numbers are

2,3,5,7,11, and 13

There are 6 prime number so the probability of rolling a prime number is

6/16

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Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
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Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

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