Math, asked by 919575886187, 3 months ago

find the pribability or a prime number mohan a die is thrown​

Answers

Answered by Prajjwal185
1

Question:

Find the Prlbability of a Prime Number when a die is thrown by Mohan.

Answer:

\Large{\boxed{\red{\underline{0.5 \: or \: 50 \%}}}}

Formula-Used:

Probabality of Event (E) =  \frac{Number \: of \: trials \: in \: which \: (E) \: is \: happening}{Total \: number \: of \: trials}

Step-by-step explanation:

There are 6 numbers on the dice which are 1, 2, 3, 4, 5, and 6.

There are only 3 numbers on dice which are prime numbers, which are 2, 3, and 5. Other like 4 and 6 are composite numbers and 1 is neither prime nor composite.

So, 2, 3, and 5 are outcomes of which we need to find the probability. The total number of outcomes on dice are 6. And there are 3 number of which probability we need to find.

So, Probability of prime numbers on dice =  \frac{3 \: (As \: three \: numbers \: are \: there)}{6 \: (there \: are \: total \: 6 \: outcomes)}

=  \frac{3 }{6} =  \frac{1}{2}

= 0.5

Therefore, \Large{\boxed{\red{\underline{0.5}}}} is probaility of prime numbers.

To find percentile probability, multiply probability by 100,

So, = 0.5 × 100

= 50% is the percentile probability of prime numbers on a dice.

Therefore, \large{\boxed{\red{\underline{50 \%}}}} is probaility of prime numbers.

Therefore, probability of prime numbers on dice is \large{\boxed{\red{\underline{0.5 \: or \: 50 \%}}}}

Extra Information:-

What are Prime Numbers?

Prime numbers are the natural numbers greater than 1 and they do not have any factor other than 1 and the number itself.

What are Composite Numbers?

Composite numbers are the natural numbers greater than 1 and they have factors other than 1 from which they an be broken into two parts, example, :- 20 = 4×5.

1 is neither prime nor composite number. It is the factor of every number.

Important:-

✔ The Probability of an event lies between 1 and 0. The probability of an event can be any fraction from 0 and 1. 0 and 1 themselves are inclusive in probability, where 0 = 0% and 1 = 100% chances.

^^

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