Please help me out with these two questions. Please complete all parts An urn co
ID: 3334024 • Letter: P
Question
Please help me out with these two questions. Please complete all parts
An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine: (A) The probability of winning $17 (B) The probability of winning all bills in the unm (C) The probability of the game stopping at the second draw. (A) What is the probability of winning $17? (Type a decimal or a fraction. Simplify your answer.)Explanation / Answer
1 dollar -3
5 dollar -1
10 dollar -1
total number =5
a)
for 17 dollar we have to get
combination of (5,1,1) and 10 in final
required probability
= 3*(3*2*1)*1/(5*4*3*2)
=3/20
b) winning all money
(5,1,1,1) and then 10
=4 * 3*2*1*1*1/(5*4*3*2*1)
= 1/5
c) ending game in 2nd draw
any currency except 10 on first draw and 10 $ on 2nd
probability = 4/5 * 1/4
= 1/5
next question
1 dollar -2
5 dollar -1
20 dollar -1
total number =4
a) probability of winning 20000 bonus = 22 dollar
for 22 dollar we have to get
1 dollar then 1 dollar and then 20 dollar
required probability
= 2 / 4*1/3*1/2
=1/12
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