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konstantin123 [22]
3 years ago
9

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

Mathematics
2 answers:
Aleksandr-060686 [28]3 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]3 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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