Nico's Nuts buys a blend of peanuts and cashews from 2 vendors, with 61% coming from Brasstown farms and the rest from Rabun farms. The blend from Brasstown is 74% peanuts and 26% cashews, and the blend from Rabun is 54% peanuts and 46% cashews. All nuts are mixed by Nico's before packaging. A random nut is chosen from the mixture. a) Find the probability that the nut came from Brasstown, given that it is a peanut. b) Find the probability that the nut came from Rabun, given that it is a cashew. ..... a) The probability that the nut came from Brasstown, given that it is a peanut, is - (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the nut came from Rabun, given that it is a cashew, is -. (Do not round until the final answer. Then round to four decimal places as needed.)

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Nico's Nuts buys a blend of peanuts and cashews from 2 vendors, with 61% coming from Brasstown farms and the rest from Rabun farms. The blend from Brasstown is 74% peanuts and 26% cashews, and the blend from Rabun is 54% peanuts and 46% cashews. All nuts are mixed by Nico's before packaging. A random nut is chosen from the mixture.

a) Find the probability that the nut came from Brasstown, given that it is a peanut.

b) Find the probability that the nut came from Rabun, given that it is a cashew.

---

**a)** The probability that the nut came from Brasstown, given that it is a peanut, is [____].  
*(Do not round until the final answer. Then round to four decimal places as needed.)*

**b)** The probability that the nut came from Rabun, given that it is a cashew, is [____].  
*(Do not round until the final answer. Then round to four decimal places as needed.)*
Transcribed Image Text:Nico's Nuts buys a blend of peanuts and cashews from 2 vendors, with 61% coming from Brasstown farms and the rest from Rabun farms. The blend from Brasstown is 74% peanuts and 26% cashews, and the blend from Rabun is 54% peanuts and 46% cashews. All nuts are mixed by Nico's before packaging. A random nut is chosen from the mixture. a) Find the probability that the nut came from Brasstown, given that it is a peanut. b) Find the probability that the nut came from Rabun, given that it is a cashew. --- **a)** The probability that the nut came from Brasstown, given that it is a peanut, is [____]. *(Do not round until the final answer. Then round to four decimal places as needed.)* **b)** The probability that the nut came from Rabun, given that it is a cashew, is [____]. *(Do not round until the final answer. Then round to four decimal places as needed.)*
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