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Class 10 > Learn Class IX-X Tuition > A bag contains 6 nails and 10 nuts. half of the nails...
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A bag contains 6 nails and 10 nuts. half of the nails and half of the nuts are rusted. if one item is chosen at random then find the probability that it is rusted and is a nail.

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SINCE HALF OF THE NAILS ARE RUSTED, THERE ARE 6X(1/2)=3 RUSTED NAILS. TOTAL NUMBER OF ITEMS IS 10+6=16. SO PROBABILITY=3/16
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A Private Tutor of Mathematics

Since half of the nails are rusted, there are 3 rusted nails. total number of items= 16. so probability is 3/16.
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Mathematics Teacher

3/16
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GMAT Math Expert

Probability of choosing a nail is 6/16, where No. of nails = 6 and Total number of nails and nuts = 6+10= 16. Now that we have chosen nails, half of them are rusted. So probability is (6/16)*(1/2) = 3/16.
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Probability that item is rusted P(A) = 8/16 , Probability that item is nail, P(B) = 6/16, Probability (rusted and nail) = P(A intersection B)
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An Engineer from IIEST, Shibpur wants to teach Maths.

P = 3/16
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18 years Experienced Teacher

1/2 and 3/16
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19 years of experience in this field , produced 4 times Gurgaon topper in last 15 years

11/16
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Genuine artist in teaching mathematics in a very very simple yet exciting way

6/16 * 1/2
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We have to find the probability of getting a rusted nail. Probability that it is a nail = 6/16 = 3/8. Probability that it is rusted = 1/2. So, probability that it is a rusted nail = 3/8*1/2 = 3/16.
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