Question

you are given 40 cards with four different colors. 10 green cards, 10 red cards, 10 blue cards, 10 yellow cards. the cards of each colour are numbered from one to ten. two cards are picked at random. find out the probability taht the cards picked are not of the same number and same color​

Answer 1

Step-by-step explanation:

probability of colours is 2/40

probability of numbers is 2/10

Answer 2

Answer:

Step-by-step explanation:

Given: 40 cards with four different colors. 10 green cards, 10 red cards, 10 blue cards, and 10 yellow cards.

To Find: The probability that the cards picked are not of the same number and same color​

Solution:

So, initially, as a direct approach, I thought you would first choose the color of the first card. There are 4 ways of doing this.

Then you could choose the number of the first card. There are 10  ways of doing this. Then you would choose the color of the second card. There are 3 ways of doing this since it can't be the same color of the first card. Then you would choose the number of the second card. There are 9 ways of doing this, since it cannot be the same number as the first card.

Then there would be 40C2 of choosing 2 cards

Thus the answer would be :

5C2 × 10  × 9/40C2     < 1

(4 × 10) × (3 × 9)/ (40 × 39)   < 1

27/39 < 1

Hence, the required probability of cards picked are not of the smae number and same color is 27/39.

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