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A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr

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A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 12 Nov 2019, 06:08
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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 12 Nov 2019, 06:41
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Bunuel wrote:
A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the probability of picking a coin other than a nickel twice in a row if the first coin picked is not put back?

A. 1/7
B. 6/7
C. 13/35
D. 12/35
E. 4/9


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The question wordings are a bit confusing..
I) If it means same coin has to be picked up twice....
P of pennies = \(\frac{5}{15}*\frac{4}{14}\)
P of dimes = \(\frac{4}{15}*\frac{3}{14}\)
Total P = \(\frac{5}{15}*\frac{4}{14}+\frac{4}{15}*\frac{3}{14}=[m]32/210\)[/m]
II) If it means any coin except can be picked up ....
P of picking any of the 9 = \(\frac{9}{15}*\frac{8}{14}=\frac{72}{210}=\frac{12}{35}\)

If the choices are seen, it seems case II is meant..
But wordings could have been
A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the probability of picking a coin other than a nickel twice in a row in each of the two draws if the first coin picked is not put back?

D
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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 12 Nov 2019, 09:44
1
total coints = 15
P of not nickle = 9/15*8/14 =
12/35
IMO D

Bunuel wrote:
A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the probability of picking a coin other than a nickel twice in a row if the first coin picked is not put back?

A. 1/7
B. 6/7
C. 13/35
D. 12/35
E. 4/9


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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 14 Nov 2019, 11:26
PENNIES (P) NICKEL(N) DIME(D)

Total = 15 coins
Nickel = 6
Not Nickel = 9
Probability of taking a coin other than Nickel = 9/15=3/5 ( first withdrawal)
If the coin taken is not replaced....
Probablility of taking a coin other than Nickel = 8/14= 4/7 (2nd withdrawal)

Total probability of drawing a coin other than Nickel in two successive withdrawals= 3/5 * 4/7= 12/35

Ans D
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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 24 Nov 2019, 07:20
Bunuel wrote:
A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the probability of picking a coin other than a nickel twice in a row if the first coin picked is not put back?

A. 1/7
B. 6/7
C. 13/35
D. 12/35
E. 4/9


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The probability of picking a coin that is not a nickel, twice in a row, is 9/15 * 8/14 = 3/5 * 4/7 = 12/35.

Answer: D
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A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 24 Nov 2019, 21:20

Solution


Given:
    • A hand purse contains 6 nickels, 5 pennies and 4 dimes

To find:
    • The probability of picking a coin other than a nickel twice in a row if the first coin picked is not put back

Approach and Working Out:
    • Total cases = \(^{15}C_1 * ^{14}C_1\)
    • Total favorable cases =\( ^9C_1 * ^8C_1\)

Therefore, the required probability = \(9 * \frac{8}{15} * 14 = \frac{12}{35}\)

Hence, the correct answer is Option D.

Answer: D
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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr  [#permalink]

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New post 12 Dec 2019, 14:19
Hi All,

We're told that a hand purse contains 6 nickels, 5 pennies and 4 dimes. We're asked for the probability of picking two coins OTHER than nickels if the first coin picked is NOT put back. This question is a straight-forward Probability question, so we just have to work step-by-step and do the necessary calculations...

There are 6+5+4 = 15 total coins.

The probability of NOT choosing a nickel on the first try is 9/15 = 3/5

Since we do NOT put that coin back, we have removed one non-nickel from the purse and the probability of NOT choosing a nickel on the second try is 8/14 = 4/7

Thus, the overall probability of pulling two NON-nickels is (3/5)(4/7) = 12/35

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Re: A hand purse contains 6 nickels, 5 pennies and 4 dimes. What is the pr   [#permalink] 12 Dec 2019, 14:19
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