engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Probability Conditional Probability
In a game, there are three rooms- I, Il and IIl. Room I contain 2 boxes having gift items and 3 empty boxes, room II contains 3 boxes having gift items and 2 empty boxes, and room III contains 4 boxes having gift items and one empty box respectively. There is an equal probability of each room being chosen by a player. Mr John selects one box from a room chosen at random. The probability that Mr John wins a box having gift items is:
1
\(\dfrac{4}{5}\)
2
\(\dfrac{2}{5}\)
3
\(\dfrac{3}{5}\)
4
\(\dfrac{1}{5}\)