Answer: Pt = 2/81800719 or Pt = 2.4449662844E−8
the probability of reaching into the bag and randomly withdrawing 17 jellybeans such that the number of red ones is 7, the number of orange ones is 7, and the number of green ones is 3 is = 2.4449662844E−8 or 2/81800719
Step-by-step explanation:
Given;
Total number of jelly beans in the bag = 9+8+6 = 23 (9 red, 8 orange and 6 green)
We want to find the probability of randomly withdrawing 17 jelly beans such that the number of red ones is 7, orange ones 7, and green ones 3.(without replacement)
Pt = total possible ways of withdrawing the jelly bean in that particular proportion Tp / total possible ways of withdrawing 17 jelly bean Tt
Pt = Tp/Tt
Tp = 9P7 × 8P7 × 6P3 = 9!/2! × 8!/1! × 6!/3!
Tp = 877879296000
Tt = 23P17 = 23!/6!
Tt = 35905578804006912000
Pt = Tp/Tt
Pt = 877879296000/ 35905578804006912000
Pt = 2/81800719
Pt = 2.4449662844E−8
