Answered

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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?

Sagot :

Artistkjjidn

Answer:  3 out of 19  

Step-by-step explanation:

Semsee45idn

Answer:

P(caramel) = 3/10

P(raspberry) = 1/3

Step-by-step explanation:

Given:

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

⇒ Total chocolates = 3 + 3 + 4 = 10

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(picking \ caramel \ chocolate) = \dfrac{3}{10}[/tex]

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

[tex]\sf \implies P(picking \ raspberry \ chocolate) = \dfrac39=\dfrac13[/tex]

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