Question

Cards with numbers 1,2,3..........,100 are placed in a box and mixed thoroughly. One card is drawn. What is the probability that the card drawn is -
a) a prime number less than 30?
b) a multiple of 5 & 7?
c) a multiple of 5 & 7?

Answer 1

Answer:

Step-by-step explanation:

total outcomes = 100

a) favourable outcomes = 2,3,5,7,11,13,17,19,23,29

= 10

p ( getting a prime number less than 30 ) = 10/100 = 0.1

b) favourable outcomes = multiples of 5 = 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

multiples of 7 = 7,14,21,28,35,42,49,56,63,70,77,84,91,98

20 + 14 = 34

p ( getting a multiple of 5 and 7 ) = 34/100 = 0.34

c) similar as b)

Answer 2

Step-by-step explanation:

Answer:✍️

____________________

Step-by-step explanation:

total outcomes = 100

a) favourable outcomes = 2,3,5,7,11,13,17,19,23,29

= 10

p ( getting a prime number less than 30 ) = 10/100 = 0.1

b) favourable outcomes = multiples of 5 = 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

multiples of 7 = 7,14,21,28,35,42,49,56,63,70,77,84,91,98

20 + 14 = 34

p ( getting a multiple of 5 and 7 ) = 34/100 = 0.34

c) similar as b)

hope this helps you!!