A game consists of rolling a single, six-sixed die and then selecting one token

Question

A game consists of rolling a single, six-sixed die and then selecting one token from either Bag A or Bag B based on the value of the die roll. Each bag contains metal tokens and glass tokens () The events "drawing from Bag A and "drawing from Bag B are not mutually exclusive O False f the die rolis a 1 or 2, one token will be randomly drawn from Bag A Bag A contains 5 motal tokens and 4 glass tokens True (b) What is the probabilty of randomly selecing a metal token, given that the token was selected from Bag nound your answer to 2 decimal places, as needed) e) What is the probability of selecting a glass token?5 (round your answer to 2 decimal places as needed) lfthe die rol is a 3.45 #5 okens and 6 glass tokens ne token wil be randomly drawn f on Bag B Bag B contains 7 metal It will be easier to answer most of these questions by drawing a tree dagram Click to select your answerrs) O Type here to search d+ 8 3 4 5 67 8 9 0 2 Tab

Explanation / Answer

a) true

b)

P(metal token|A) =5/9 =0.56 (as thre are 5 metal token out of 9 elements)

c)P(glass token)=P(bag A and glass token+bag B and glass token)=(2/6)*(4/9)+(4/6)*(6/13)=0.46

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.