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13 January, 16:30

1 - A student purchases 6 different colored folders for her classes (red, blue,

yellow, green, purple, and black). She randomly chooses two folders to use for

her first two classes. What is the probability that her first choice is red and her

second choice is blue?

1 36

1 30

1 5

1 6

2-While playing a board game, you roll two different colored standard dice. What

is the probability of rolling a 5 on the black die and a number less than 4 on

the red die?

1 10

2 3

1 2

1 12

3-You randomly draw cards from a standard deck and place them face up on the table. What is the probability that the first two cards will both be aces?

1 169

1 221

1 2

1 26

+2
Answers (1)
  1. 13 January, 17:45
    0
    The sample space is 6 different colors

    1) P (Red) = 1/6 P (Blue) = 1/6

    P (Red AND Blue) = P (Red ∩ Blue) (1/6) x (1/6) = 1/36

    2) P (of Blue) = 1/2, P) Red) = 1/2, P (getting 5) = 1/6, P (getting 1,2 or 3) = 3/6=1/2

    P (Blue AND 5) = 1/2 x 1/6 = 1/12

    P (Red AND 1 OR 2 OR 3) = 1/2 x 1/2 = 1/4

    Probability of Event A AND Event B = 1/12 x 1/4 = 1/48 = 0.021 (I don't see it on your paper)

    3) Probability of getting 1 Ace = 4/52

    The probability of getting another ace will be 3/51 (since 1 ace was drawn & 3 are remaining. Also the number of cards from 52 to 51)

    4/52 x 3/51 = 12/2652 = 1/221
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