Question

A deck of cards contains red cards numbered 1 to 3 blue cards numbered 1234 and green cards numbered 12 if a single card is picked up random what is the probability that the card is blue or has an odd number

Answer 1

Solution :

Number of red cards = 3

Number of blue cards = 4

Number of green cards = 2

Total number of cards = (3 + 4 + 2) = 9

We have to find P(blue or odd-numbered).

P(blue or odd-numbered) = P(blue) + P(odd-numbered) - P(blue and odd-numbered)

P(blue) = number of blue cards/Total number of cards

P(blue) = 4/9

P(odd-numbered) = number of odd-numbered cards/Total number of cards

P(odd-numbered) = 5/9

P(blue card and odd-numbered) = number of blue cards that are odd-numbered/Total number of cards

P(blue and odd-numbered) = 2/9

P(blue or odd-numbered) = (4/9) + (5/9) - (2/9)

P(blue or odd-numbered) = 7/9

Hence, the probability that the card is blue or has an odd number is 7/9.