) 17 cards numbered 1,2,3….,16,17 are put in a box and mixed thoroughly. One person draws a card from the box , Find the probability that the number on the card is:-(i) Odd (ii) a prime (iii) divisible by 3 (iv) divisible by 3 and 2 both
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(i) Odd -
Outcomes = 1,3,5,7,9,11,13,15,17 = 9
P(E) = 9
17
(ii) A prime -
Outcomes = 2,3,5,7,11,13,17 = 7
P(E) = 7
17
(iii) Divisible by 3 -
Outcomes = 3,6,9,12,15 = 5
P(E) = 5
17
(iv) Divisible by 2 and 3 both -
Outcomes = 2,3,4,6,8,9,10,12,14,15,16 = 11
P(E) = 11
17
*Here Outcomes refers to the possibilities and P(E) is the probability with respect to the occuring event.
Hope it helps!!
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