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aliya0001 [1]
3 years ago
6

A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red,

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer:

  • <u>1/33</u>

Explanation:

<u>1. Sample space</u>

The total number of gums is 2 + 3 + 4 + 2 + 1 = 12.

The number of different outcomes, i.e. the size of the sample space, for the selection of two gumballs from 12 gums is 12 × 11 = 132 different combinations.

2. Number of combinations for the desired outocome.

There are four possible combinations in which one ball is pink and one is yellow:

  • first is yellow and second is one of the pinks
  • first is yellow and second is the other pink
  • first is one of the pinks and second is yellow
  • first is the other pink and second is yellow

<u>3. Probability</u>

<u></u>

By definition:

  • Probability = number of favorable outcomes / total number of outcomes

Therefore:

  • Probability that Pierre selects a yellow and a pink gumball = 4/132

  • Probability that Pierre selects a yellow and a pink gumball = 1/33
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