Question

Find the probability that a number selected at random from number 1 to 35 is a number 1) prime nymber 2) multiple of 7 (3) multiple of 3 or 5 (4) twin primes

Answer 1

Answer:

Answers are given below :

Step-by-step explanation:

1 ) Probability that number is a prime number

Prime numbers between 1 to 35 = 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31

Probability = ( Number of favourable outcomes ) / ( Total number of outcomes )

so,

Probability in this case = $\frac{11}{35}$

2 ) Probability that number is multiple of 7

Multiples of 7 between 1 to 35 = 7 , 14 , 21 , 28 , 35

So,

Probability = $\frac{5}{35}$ = $\frac{1}{7}$

3 ) Probability that number is  multiple of 3 or 5

Multiples of 3 or 5 between 1 to 35 = 3 , 5 , 6 , 9 , 10, 12 , 15 , 18 , 20, 21 , 24 , 25, 27 , 30 , 33 , 35

So,

Probability = $\frac{16}{35}$

4 ) Probability that numbers are twin primes

Twin primes between 1 to 35 = {3, 5}, {5, 7}, {11, 13}, {17, 19}, {29, 31}

So,

Probability =  $\frac{5}{35}$ = $\frac{1}{7}$

Hence,

Answers are :

1 ) $\frac{11}{35}$

2 ) $\frac{1}{7}$

3)  $\frac{16}{35}$

4 ) $\frac{1}{7}$

Answer 2

Answer:

1. 11/35

2. 1/7

3. 16/35

4. 1/7.