Question

A package of chocolates contains 3 caramel-

filled pieces, 3 raspberry-filled pieces and 4
fudge-filled pieces. What is the probability that
someone will reach in and select a caramel-filled
piece, keep it, and then select a raspberry-filled
piece?

Answer 1

Answer: 3 out of 19

Explanation:

Answer 2

P(caramel) = 3/10

P(raspberry) = 1/3

Explanation:

Given:

• Caramel chocolates = 3
• Raspberry chocolates = 3
• Fudge chocolates = 4

⇒ Total chocolates = 3 + 3 + 4 = 10

`\sf Probability \ of \ an \ event \ occurring = (Number \ of \ ways \ it \ can \ occur)/(Total \ number \ of \ possible \ outcomes)`

`\sf \implies P(picking \ caramel \ chocolate) = (3)/(10)`

If the picked caramel chocolate is NOT replaced then:

• Caramel chocolates = 3 - 1 = 2
• Raspberry chocolates = 3
• Fudge chocolates = 4
• Total chocolates = 10 - 1 = 9

`\sf \implies P(picking \ raspberry \ chocolate) = \frac39=\frac13`