Comparing two bingo cards

Balls numbered 1 to 90 are equally likely on the first draw. Two bingo cards contain:

• Arun: \(4\), \(7\), \(12\), \(18\), \(21\), \(27\), \(33\), \(36\), \(44\), \(52\), \(57\), \(63\), \(68\), \(74\), \(81\), \(88\).
• Bea: \(2\), \(9\), \(11\), \(16\), \(24\), \(29\), \(35\), \(41\), \(48\), \(54\), \(60\), \(66\), \(72\), \(77\), \(84\), \(90\).

1. Find the probability that the first number is
   1. on Arun’s card,
   2. a prime on Bea’s card,
   3. greater than 30 on either card,
   4. not on Bea’s card.
2. Given that the first number is even or a perfect square, decide which card it is more likely to appear on.