15 cards numbered 1,2 ,3…….15 are put in a box and mixed thoroughly .A card is drawn at random from the box. Find the probability that the card drawn bears i) an even number ii)a number divisible by 2 or 3
Answers
Total number of cards = 15
Find the total number of cards that are even:
Total number of cards that are even = 7
(They are 2, 4, 6, 8, 10, 12 and 14)
Find the probability of drawing a card that is even:
P(even) = 7/15
Find the total number of cards that are divisible by 2 or 3:
Total number of cards that are divisible by 2 or 3 = 10
(They are 2, 3, 4, 6, 8, 9, 10, 12, 14 and 15)
Find the probability of drawing a card that is divisible by 2 or 3:
P(Divisible by 2 or 3) = 10/15 = 2/3
Answer: (i) 7/15 (ii) 2/3
Answer :
Total number of cards = 15
i). Numbers which are even from 1 to 15 : 2, 4, 6, 8, 10, 12 and 14
Total number of cards that are even = 7
The probability of drawing a card that is even :
⇒ P(even) = 7/15
ii). Numbers which are divisible by 2 or 3 are : 2, 3, 4, 6, 8, 9, 10, 12, 14 and 15
Total number of cards that are divisible by 2 or 3 = 10
The probability of drawing a card that is divisible by 2 or 3 :
P(Divisible by 2 or 3) = 10/15
= 2/3