There are 2 cashews and 3 pistachios in a bag. You take one nut out at random and eat it, and repeat this until you get a cashew. Let X be the number of nuts you had to take in order to get a cashew. For example, if you took out a pistachio, another pistachio, and then a cashew, X would be 3. Find the expected value of X. (A) ½ (В) 4 (C) 2 (D) 3 (E) ½ (F) 1 (G) (H) ½

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There are 2 cashews and 3 pistachios in a bag. You take one nut out at random and
eat it, and repeat this until you get a cashew. Let X be the number of nuts you had
to take in order to get a cashew. For example, if you took out a pistachio, another
pistachio, and then a cashew, X would be 3. Find the expected value of X.
(A) ½
(В) 4
(C) 2
(D) 3
(E) 3
(F) 1
(G)
(H) ½
Transcribed Image Text:There are 2 cashews and 3 pistachios in a bag. You take one nut out at random and eat it, and repeat this until you get a cashew. Let X be the number of nuts you had to take in order to get a cashew. For example, if you took out a pistachio, another pistachio, and then a cashew, X would be 3. Find the expected value of X. (A) ½ (В) 4 (C) 2 (D) 3 (E) 3 (F) 1 (G) (H) ½
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