Question

(a)Trey has a box of candies and will randomly choose one piece. The odds against choosing a lemon-flavored piece are 19/3. What is the probability of choosing a lemon-flavored piece?

(b)Kaitlin is playing a board game. She must roll dice to determine if she gets an extra turn. The probability of getting an extra turn is 5/16. Find the odds in favor of getting an extra turn.

Answer 1

Explanation:

1: the probability of not choosing a lemon will be:

->5/16 / [5/16 + 1]

->5/16 / [21/16]

->5/16 * 16/21

->5/21

2: subtract the probability of everything(1 or universal set) a lemon from choosing a lemon

->21/21-5/21

->21-5/21

->17/21

answer

Answer 2

a) 3/22

b) 5/11

Explanation:

F = number of Favorable outcomes

U = number of Unfavorable outcomes

T = Total possible outcomes

Probability = F/T

T = F + U

Odds in Favor = F/U

Odds Against = U/F

a) U=19, F=3

Probability = 3 / (19+3)

b) F=5, T=16 ⇒ 16=5+U, so U=11