2 An ordinary fair die is thrown repeatedly until a 1 or a 6 is obtained.
- Find the probability that it takes at least 3 throws but no more than 5 throws to obtain a 1 or a 6 .
On another occasion, this die is thrown 3 times. The random variable \(X\) is the number of times that a 1 or a 6 is obtained. - Draw up the probability distribution table for \(X\).
- Find \(\mathrm { E } ( X )\).