Ask Question
26 August, 13:02

A bag has 10 yellow poker chips and 4 green poker chips. If you reach in to randomly draw 5 chips, what is the probability of selecting exactly 3 yellow chips and 2 green chips?

+4
Answers (1)
  1. 26 August, 15:22
    0
    In the study of probability, you find the chances of an event to happen likely out of the total number of possibilities. Thus, probabilities are always presented as part of a whole: in terms of fractions or percentages.

    In this problem, the denominator for the probability would be the total number of possibilities. In combination probability, we use the equation: n!/r! (n-r) !, where 'r' is the number of like things out of 'n' objects. So, the denominator would be 5 drawn chips out of a total of 14 chips. So,

    denominator = 14!/5! (14-5) ! = 2,002 ways

    For the numerator, we multiply the combination for 3 out of 10 chips and 2 out of 4 chips.

    Numerator = 10!/3! (10-3) ! * 4!/2! (4-2) !

    Numerator = 720 ways

    Thus, the probability is

    Probability = 720/2002 = 360/1001 or 35.96%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A bag has 10 yellow poker chips and 4 green poker chips. If you reach in to randomly draw 5 chips, what is the probability of selecting ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers