Mathematics [3 marks sum]

A ball is chosen from a bag that contains 30 balls numbered from 1 to 30 . What is the probability that the ball chosen will have a number that is divisible by 3 ?

A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability that the card drawn is a diamond?

If an unbiased dice is thrown 5 times and every throw resulted in a 6 , what is the probability of getting a 6 on the sixth throw?

There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is black or king.

A bag contains 100 identical marble stones numbered from 1 to 100 . What is the probability of drawing a marble having a number divisible by both 4 and 5 ?