Jamal has 8 red jelly beans and 9 green jelly beans in a bag. He reaches into hi

Question

Jamal has 8 red jelly beans and 9 green jelly beans in a bag. He reaches into his bag and comes out with 4 jelly beans in his hand (a) What is the probability that the jelly beans in his hand are all red? 0297 (b) What is the probability that the jelly beans in his hand are all the same color (all red or all green)? 9766 X (c) What is the probability that 3 are red and 1 is green? 052 -6 points A board game is played with wooden pieces, where each piece shows a number on one side. There are 44 p eces altogether and each piece shows a number from 1 t 4. is on exactly one piece.) To begin the game you randomly select 6 pieces. My Notes Ask Your Teacher ach number on·to How many possibilities are there for the numbers you begin with? In other words, how many different ways can you choose your 6 pieces? Suppose that the odd numbered pieces are painted blue and the even numbered pieces are painted white. In how many ways could you select your pieces so that they are all white? What is the probability that all the pieces you select are white? (Give your answer correct to four decimal places.)

Explanation / Answer

Question 1:

Selecting 3 red beans from 8 can be done in 8C3 and 1 green can be selected in 9 ways

P(3 Red and 1 Green) = 8C3*9/17C4 = 0.2118

Question 2:

6 pieces from 44 can be selected in 44C6 ways
i.e. Possibilities are 44C6 = 7059052

Thre are 22 odd pieces and 22 even pieces, this means there are 22 pieces painted white.

Number of ways selecting 6 white pieces = 22C6 = 74613

Probability that selected pieces are white, P(white) = 74613/7059052 = 0.0106

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