8. You have 4 red, 6 black, 3 blue, 2 yellow, and 5 purple marbles. Find each of the following: \( \begin{array}{ll}\text { (a) Probability of selecting a purple marble. } & \text { (b) Probability of selecting a black marble. } \\ \begin{array}{ll}\text { (c) Probability of selecting a black or blue } \\ \text { marble. } & \text { (d) Probability of selecting a yellow or red } \\ \text { marble. }\end{array} \\ \begin{array}{ll}\text { (e) Probability of selecting an orange marble. } & \text { (f) } P(\text { red, black, blue, yellow, or purple) }\end{array}\end{array} ⿴ \begin{array}{l}\text { (b) }\end{array} \)

The probability that it will be suminy tomorrow is \( \frac{2}{9} \), If it is sunny, the probability tha Siya plays rugby is \( \frac{8}{15} \). If it is not sumy, the probability that Stya plays rugby is \( \frac{4}{15} \) 9.2.1 Represent the above information on the tree diagram and indicate all the possible outcomes.

1 One card is chosen at random from a standard deck of 52 playing cards. Find the probability of a a red king b a king or queen c a jack of diamonds d a picture card (i.e. king, queen or jack)

9.1 Given: \( P(A)=0,45 ; P(B)=y \) and \( P(A \) or \( B)=0,74 \). Determine the value(s) of \( y \) : 9.1.1 If \( A \) and \( B \) are mutually exclusive events. 9.1.2 If \( A \) and \( B \) are independent events.

A three-digit number is to be formed from the digits 1,6 and 8 . What is the probability that the number will:

One card is chosen at random from a standard deck of 52 playing cards. Find the probability of drawing a red king a jack of diamonds a picture card (i.e. king, queen or jack)