Question

Reese will choose one headband, one

necklace, and one pair of earrings to
wear with her prom dress. Using the
options in the table,answer the
following question
Headband
White
Rod
Blue
Necklace
Gold
Silver
Earrings
Gold Pair
Silver Pair
Pearl Pale
What is the probability that Reese will
choose a blue headband, a silver
necklace, and a silver pair of earrings
to wear with her prom dress?

Answer 1

`(1)/(18)`

Explanation:

Number of Headband Types=3

P(Reese will choose a blue headband)=1/3

Number of Types of Necklace=2

P(Reese will choose a silver necklace)=1/2

Number of Types of Earrings=3

P(Reese will choose a silver earrings)=1/3

In Probability Theory,

P(A AND B)=P(A) X P(B)

Therefore, the probability that Reese will choose a blue headband, a silver necklace, and a silver pair of earrings

`=(1)/(3)X (1)/(2)X(1)/(3)\\\\=(1)/(18)`