Question

a card is picked at random from a pack of 20 cards numbered 1,2,3,4......20. Find the probability that the card is even or the card is multiple of 4?

Answer 1

Answer:

P=1/2

Step-by-step explanation:

n(s)=20

since, the card is to be a multiple of four or even

so, p={2,4,6,8,10,12,14,16,18,20}

n(p)=10

p(of getting card which is even or multiple of four)=n(p)/n(s)

=10/20=1/2

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Answer 2

Answer:

Step-by-step explanation:

Among the 20 cards

Even cards are 2,4,6,8,10,12,14,16,18,20

Probability of getting an even card : 10/20 [ P(A) ]

Multiples of 4 : 4,8,12,16,20

Probability of getting a multiple of 4: 5/20 [ P(B) ]

Probability of card is even and multiple of 4 [ie. P(A n B) ] = 5/20

Probability if card is even or multiple of 4 [ ie. P( A u B ] = 10/20+5/20-5/20

=>10/20

=> 1/2