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6. Tua has created a new game called Making Green. To play the game, a player sp

ID: 3136649 • Letter: 6

Question

6. Tua has created a new game called Making Green. To play the game, a player spins twice. If the player gets blue in one section and yellow in the other, the player wins, because blue and yellow together make green. The player can choose either spinner for either of their two spins Blue Yellow Blue Red Orange Orange Red Yellow Spinner A Spinner B a. Tua spins Spinner A once and Spinner B once. What is the probability she will get green? Show how you got your answer. b. Is there a different choice of selecting the spinners to make the probability of making green greater than that in part (a)? Explain.

Explanation / Answer

a) On the First Spinner

P(Yellow)=P(Blue)= 1/4

On second Spinner

P(Yellow) =1/2

P(Blue)=1/6

P(green) =P(Blue on first and Yellow on other) + P(Yellow on first and Blue on other)

= (1/4)*(1/2) + (1/4)*(1/6)

= (1/8) +(1/24)

= 4/24

=1/6

Probability of winning is = 1/6

b) There are no different choice of selecting the spinners other than the two posibilities mention in part a).