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6 votes
6 votes

There are three cards in a box. Both sides of one card are black, both sides of one card are red and the third card has one black side and one red side. We pick a card at random and observe only one side. What is the probability that the opposite side is the same colour as the one side we observed?

  1. 3/4
  2. 2/3
  3. 1/2
  4. 1/3
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2 Answers

3 votes
3 votes
3 cards BB  RR  BR

BB RR wil have same color on both sides

so favorable  cases =2  total cases =3  

ans is 2/3
0 votes
0 votes
There are BB RR and BR, total outcome is 3, probability that the opposite side is the same color as the one side we observed:
It is clear that BB and RR will show the same color on opposite side, so favorable outcome will be 2.
Probability will be favorable outcome / total outcome
i.e. 2 / 3.
So, option (B) is correct
Answer:

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