2) There are 12 sweets in a bag. 4 are lemon flavour. 4 are caramel flavour. 4 are orange flavour. Jude takes at ran

Question

2) There are 12 sweets in a bag.
4 are lemon flavour.
4 are caramel flavour.
4 are orange flavour.
Jude takes at random 3 sweets at the same time.
Work out the probability that exactly 2 of the sweets are the same flavour.

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Thái Dương 4 years 2021-09-02T14:24:31+00:00 1 Answers 34 views 0

Answers ( )

  1. diemkieu
    0
    2021-09-02T14:26:02+00:00
    Reply

    Answer:

    0.654

    Step-by-step explanation:

    There are 12 sweets in a bag.

    4 are lemon flavour.

    4 are caramel flavour.

    4 are orange flavour.

    Jude takes at random 3 sweets at the same time.

    Work out the probability that exactly 2 of the sweets are the same flavour.

    Probability = Required outcome / Total possible outcomes

    Required outcome = either exactly 2 of lemon or 2 of caramel or 2 of Orange

    Required outcome = 3[4C2 * 8C1) = 3(6*8) = 144

    Total possible outcomes = 12C3 = 220

    P(exactly 2 are same flavor) = 144 / 220 = 0.654

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