Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 16 of the 65 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

Question

Valentina Dean

Mathematics

14 March, 12:52

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 16 of the 65 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?

+5

Answers (1)

Know the Answer?

Sarah · Answer 1

0.06059

Step-by-step explanation:

Total Number of Trial=65

Number of Boxes with Secret Decoder Rings = 16

Relative Frequency of Getting a Decoder Ring = 16/65

If 2 boxes are randomly selected, the Probability that BOTH have the secret decoder ring

= P (1st box has the ring AND the 2nd box has the ring)

= 16/65 X 16/65

=0.06059171598

= 0.06059 (to 4 significant figures)