Question

The probability that randomly selected positive integer is relatively prime to 6

Answer 1

Answer:

not right choice Rohit or Manish

Answer 2

Given:

We have Set of positive integers.

To Find:

We have to find the Probability of no. that relative prime with 6.

Step-by-step explanation:

• Relatively - Prime:-Two integers are said to be relatively prime when there are't the other common factors except for 1. This conclude that the no other integers could never divide the both numbers even.

• Also we are able to say that two number are relatively prime when the gcd of two numbers is 1.

• Probability:-

• Probabilty is caculated by the formulawhen the no. of favorable outcomes are divided by thetotal number of outcomes.

• Now we would like to searchout the probabilty of getting relative prime with 6. We are ready to observe in positive integers in every 6-consecutive integers       one is precisely divided by 6 and everybody leaves the rest.

• just just like the number which leaves the remiander are 1 and 5. and also         relatively prime to 6
• Hence total no.=6

      favorable outcome=2

         $P(E)=\frac{2}{6} =\frac{1}{3}$

Hence, probability is $\frac{1}{3}$.

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