samiahsingh
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A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red,
and 1 yellow gumballs. Pierre selects two gumballs from the
bag, without replacement. What is the probability that Pierre
selects a yellow and a pink gumball?

Respuesta :

Edufirst

Answer:

  • 1/33

Explanation:

1. Sample space

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

3. Probability

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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