Events \( A \) and \( B \) are mutually exclusive. Suppose event \( A \) occurs with probability 0.01 and event \( B \) occurs with probability Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that \( B \) occurs or \( A \) does not occur (or both). (b) Compute the probability that neither the event \( A \) nor the event \( B \) occurs. (

Evaluate the expression. \( P(12,6) \) \( P(12,6)=\square \)

(2) Juma a form 2 slaudent was told to (b) pict two number \( x \) and \( Y \) from a set of digits \( 0,1,2,3,4,5 \) and 6 . Find the probality that the \( (x-y) \) is atleast 3 .

A card is drawn at random from an ordinary deck of cards. Find the probabilities in parts (a)-(d). (a) The card is a diamond. (b) The card is not a diamond. (c) The card is a diamond or a heart. (d) The card is a diamond or a numbered card. (e) What are the odds in favor of drawing a diamond? (a) The probability that the card is a diamond is (Simplify your answer.) (b) The probability that the card is not a diamond is (Simplify your answer.) (c) The probability that the card is a diamond or a heart is \( \square \). (Simplify your answer.) (d) The probability that the card is a diamond or a numbered card is \( \square \). (Simplify your answer.) (e) The odds in favor of drawing a diamond are \( \square \) to \( \square \). (Simplify your answers.)

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 4 the second time. Find the probability of rolling an even number the first time and a number greater than 4 the second time. \( \square \) (Type an integer or a simplified fraction.)

18. Two bags A and B contain identical balls except for the colours. Bag A contains 4 red balls and 2 yellow balls. Bag B contains 2 red balls and 3 yellow balls. (a) If a ball is drawn at random from each bag, find the probability that both balls are of the same colour. (b) If two balls are drawn at random from each bag, one ball at a time without replacement, find the probability that (i) the two balls drawn from bag A or bag B are red, (iii) all the four balls drawn are red