Thanks a lot!!!!!!!!!!!!!!!!!

Please use these formula:

• Tree diagram - is often used to show how simple experiments can be combined one after the other to form more complex experiments. independent events - if the occurrence of one event does not change the probability of the occurrence of the other event; ( ) = () ()
• if A and B independent n(AB) = n(A) n(B)
• if A and B are independent then conditions probability P(A\B) = P(A)
• if B occurred after event A has occurred, is given by the formula P(B\A) = ()/()
• Multiplicative Principle for probabilities of independent events - if A and B are independent events, then ( ) = (\) ()

1. Draw a tree diagram to list the outcomes set for an experiment in which a die is rolled, and then a four-coloured equal-probability spinner (red, blue, green, yellow) is spun. Find each probability.

a) a 6 is rolled and a green is spun

b) an even number is rolled or red is spun

2. Joshua and Ravinder are having a video-game competition. Over the course of one week, they play several times. They have decided that the winner will be declared when someone wins three out of five games. Ravinder has had the game longer and his probability for winning each time is 2/5 . Determine the probability that Joshua will win the weekly competition.