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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Sabyasachi Dey

A Private Tutor of Mathematics

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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Teaching is my passion!!!!

3/16
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An Engineer from IIEST, Shibpur wants to teach Maths.

P = 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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Genuine artist in teaching mathematics in a very very simple yet exciting way

6/16 * 1/2
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20 years of teaching experience

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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