Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 21 of the 43 boxes on the shelf have the secret decoder ring. The other 22 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?(Give answer as a decimal correct to four decimal places.)

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Asked Nov 14, 2019
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Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 21 of the 43 boxes on the shelf have the secret decoder ring. The other 22 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?

(Give answer as a decimal correct to four decimal places.)

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Expert Answer

The probability that both of the boxes will have the secret décor ring is given below:

...
Probability that both
= P(1st box having secret decor ring) x P(second box having secret decor ring)
of the boxes will have
the secret decor ring
21
20
X-
=
43
42
=0.2326
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Probability that both = P(1st box having secret decor ring) x P(second box having secret decor ring) of the boxes will have the secret decor ring 21 20 X- = 43 42 =0.2326

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