6. The individual letters of the word STATISTICAL are written on 11 cards which are then shuffled.
One card is selected at random. Find the probability that it is
- a vowel,
- a T, given that it is a consonant.
The 11 cards are then shuffled again and the top three are turned over. Find the probability that
- all three of the cards have a T on them,
- at least two of the cards show a vowel.