Find the probability that a number selected at random from the numbers 1, 2,3, 34, 35 is - Maths - Probability

Question

Find the probability that a number selected at random from
the numbers 1, 2,3,……… 34, 35
is
a) a prime number b ) is a
multiple  of 7 c ) a multiple of 2 and 5 d) a
multiple of 2 or 3

Ankush Jain · Accepted Answer

Given set of numbers are: 1, 2, 3, 4, , 34, 35 a) Let A be the event of selecting a prime number out of given set of numbers Favourable outcomes to event A = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 Therefore, number of favourable outcomes = 11 Total number of outcomes = 35 $∴ Required probability = \frac{Number of favorable outcomoes}{T otal outcomes} = \frac{11}{35}$ b) Let B be the event of selecting a multiple of 7 Favourable outcomes to event B = 7, 14, 21, 28 and 35 Therefore, number of favourable outcomes = 5 Total number of outcomes = 35 $∴ Required probability = \frac{Number of favorable outcomoes}{T otal outcomes} = \frac{5}{35} = \frac{1}{7}$ c) Let C be the event of selecting a number which is multiple of 2 and 5 Favourable outcomes to event C = 10, 20 and 30 Therefore, number of favourable outcomes = 3 Total number of outcomes = 35 $∴ Required probability = \frac{Number of favorable outcomoes}{T otal outcomes} = \frac{3}{35}$ d) Let D be the event of selecting a number which is multiple of 2 or 3 Favourable outcomes to event D = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 3, 9, 15, 21, 27 and 33 Therefore, number of favourable outcomes = 23 Total number of outcomes = 35 $∴ Required probability = \frac{Number of favorable outcomoes}{T otal outcomes} = \frac{23}{35}$

Find the probability that a number selected at random from the numbers 1, 2,3,……… 34, 35 is a) a prime number b ) is a multiple of 7 c ) a multiple of 2 and 5 d) a multiple of 2 or 3

Find the probability that a number selected at random from the numbers 1, 2,3,……… 34, 35 is

a) a prime number b ) is a multiple of 7 c ) a multiple of 2 and 5 d) a multiple of 2 or 3