A bag contains 10 quarters and 5 nickels. Determine whether the events of picking a nickel first and then a quarter without replacement are independent or dependent. Then identify the indicated probability. independent; 2/9 independent; 5/21 dependent; 5/21 dependent; 2/9

Question

Jakob Patterson

Mathematics

28 January, 19:26

A bag contains 10 quarters and 5 nickels. Determine whether the events of picking a nickel first and then a quarter without replacement are independent or dependent. Then identify the indicated probability. independent; 2/9 independent; 5/21 dependent; 5/21 dependent; 2/9

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Brenden Wagner · Answer 1

10 quarters ... 5 nickels ... 15 in total

probability of picking a nickel first is 5/15 which reduces to 1/3

without replacement

probability of picking a quarter next is 10/14 which reduces to 5/7

probability of both is : 1/3 * 5/7 = 5/21 <==

There are dependent events being that u didn't replace what u picked <==