Find the odds a) Two dice are rolled, find the odds of rolling a 7 or an 11. b)

Question

Find the odds a) Two dice are rolled, find the odds of rolling a 7 or an 11. b) A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favoror of drawing the given marble: a. A yellow marble b. A blue marble c) A hag contains both purple and magenta marbles. One marble is to be chosen at random from the bag. You are told the odds for picking a purple marble is 5: 2. Find the probability of selecting a purple marble. d) A dresser drawer contains yellow, orange and neon green socks. One sock is to be selected at random from the drawer. You are told the odds against picking a neon green sock is 16: 5. Find the probability of selecting a neon green sock.

Explanation / Answer

A) Probability of 7 = 2/36 ((6,1) and (1,6))

Probability of 11 = 2/36 = ((5,6) and (6,5))

Probability of 7 or 11 = 4/36

Odd of 7 or 11 = (4/36) : (1 - 4/36)

= 4 : 32

= 1:8

B) a. yellow - 3

Not yellow - 12

Odds in favor of yellow = 3/12 = 1:4

b. Blue - 8

Not blue - 7

Odd in favour of blue - 8:7

C) P(selecting purple marble) = 5/(5+2) = 5/7

D) odds against neon green = 16:5

Odds in favor of neon green = 5:16

P(neon green sock) = 5/(5+16) = 5/21

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