The next three questions (12 to 14) refer to the following: We have four boxes,

Question

The next three questions (12 to 14) refer to the following: We have four boxes, each of which contains 10 coloured balls: Box 1 contains 4 red balls, 5 green balls and 1 yellow ball. . Box 2 contains 3 red balls, 5 green balls and 2 yellow balls. . Box 3 contains 2 red balls, 5 green balls and 3 yellow balls. . Box 4 contains 1 red ball, 5 green balls and 4 yellow balls. 12. If we randomly select one ball from each box, what is the probability of selecting exactly one yellow ball? (A) 0.44 (B) 0.40 (C) 0.36 (D) 0.48 (E) 0.32

Explanation / Answer

P(one yellow only from box1) = 0.1*0.8*0.7*0.6 = 0.0336

P(one yellow only from box2) = 0.9*0.2*0.7*0.6 = 0.0756

P(one yellow only from box3) = 0.9*0.8*0.3*0.6 = 0.1296

P(one yellow only from box4) = 0.9*0.8*0.7*0.4= 0.2016

P(exactly one yellow ball) = sum of above probabilities = 0.0336+0.0756+0.1296+0.2016 = 0.4404

So, Answer is option A.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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