Question

There are 27 cards having
numbers from 1 to 27. Two
cards are picked at random
one by one without replacement. What is the probability
that sum of numbers on these
two cards is odd ?​

Answer 1

Answer:

There are 27 cards numbered 1 to 27. If two cards are picked at random one by one, what is the probability that the sum of the numbers on these 2 cards is odd?

For getting an odd sum, we need a combination of Even+Odd or Odd+Even

So from 1–27; No. of odd numbered cards=14

No. of even numbered cards=13

Case1: Odd numbered card is drawn first

Probability = (14/27)*(13/26)= 7/27

Case2: Even numbered card is drawn first

Probability = (13/27)*(14/26)= 7/27

Hence probability of getting an odd sum = (7/27)+(7/27)= 14/27

Step-by-step explanation:

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