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Probability Questions?
6 cards are dealt (without replacement) from an ordinary deck of 52.What is the probability that at least 2 Hearts are dealt?
5 marbles are randomly drawn without replacement . After that, one more marble is drawn. What is the probability that this last marble drawn is Red?
1 Answer
- ?Lv 78 years ago
1)
Probability of at least 2 hearts dealt
= 1 - Probability less than 2 hearts dealt
= 1 - Probability no heart dealt - Probability exactly 1 heart dealt
= 1 - (39/52 x 38/51 x 37/50 x 36/49 x 35/48 x 34/47) - (6 x 13/52 x 39/51 x 38/50 x 37/49 x 36/48 x 35/47)
= 1 - (2109/13160) - (82251/223720)
= 1886 / 3995
2)
Not enough information is given, so we cannot solve the problem.
We do not know how many marbles of each colour are there. In fact, we are not even sure what are the colours available.
