ScholarMatic: Explanation & Answer
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1.
The probability that a flight departs Sydney Kingsford Smith Airport on-time is 0.49. If Singapore Airlines flight SQ232 from Sydney to Singapore departs on-time, the probability that it arrives on-time is 0.81. If it does not depart on-time, then the probability of it arriving on-time is 0.68. If SQ232 arrived late today, what is the probability that is departed on-time?2.
A Mahjong set contains 136 tiles consisting of the following 17 types of tiles: 1) the numbers 1 to 9 in the Circle Suit; 2) the numbers 1 to 9 in the Sticks suit; 3) the numbers 1 to 9 in the Characters suit; 4) the 4 Directional tiles: North, South, East and West; and 5) the 3 Dragon tiles: Red, Green and White. There are 4 tiles of each time (e.g. there are 4 of the 1 Character tile).
At the beginning of the game, the dealer draws 14 tiles (in one draw). What is the probability that the dealer draws at least 1 White Dragon tile?
Give your answer to 3 decimal places.
3.
How many ways can letters of the word SINGAPORE be arranged such that the letters SIN appear together and in that order?
ScholarMatic: Explanation & Answer
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