A bowl of fruit contains 5 bananas, 6 oranges, and 3 apples. Two fruits are selected...

A bowl of fruit contains 5 bananas, 6 oranges, and 3 apples. Two fruits are selected one after another without replacement. What is the probability that the second fruit drawn is an apple given the first fruit drawn was a banana?

My answer is (ba)+(oa)+(aa) / (bb) + (bo) + (ba) which is wrong.. why?

Expert Solution

P(A | B) = P(A and B) / P(B)

P(second fruit is an apple | first fruit is banana) = P(first fruit is banana and second fruit is an apple) / P(first fruit is banana)

= ((ba)) / ((bb) + (bo) + (ba))

= (5/14 * 3/13) / [(5/14 * 4/13) + (5/14 * 6/13) + (5/14 * 3/13)]

= (15/182) / (65/182)

= 15/65

= 3/13

orchestra answered 2 years ago

Consider an economy that produces only three types of fruit: apples, oranges & bananas. In the...

Consider an economy that produces only three types of fruit: apples, oranges & bananas. In the base year the production & price data are as follows: Fruit Quantity Price Apples 3000 Unit Rs. 2 per unit Bananas 6000 Unit Rs. 3 per unit Oranges 8000 Unit Rs. 4 per unit In the current year the production & price data are as follows: Fruit Quantity Price Apples 4000 Unit Rs. 3 per unit Bananas 14,000 Unit...

Suppose five bananas and seven oranges are placed in a fruit basket. A. Suppose three fruits...

Suppose five bananas and seven oranges are placed in a fruit basket. A. Suppose three fruits are chosen with replacement, sketch a tree diagram that shows all possible outcomes. B. If three fruits are chosen at random with replacement find the probability that at least one banana is drawn. C. If all three of the chosen foods are the same type what is the probability they’re all are bananas. Suppose five bananas and seven oranges are placed in a fruit...

There are four apples in a fruit basket which contains 10 fruits. What fraction of the...

There are four apples in a fruit basket which contains 10 fruits. What fraction of the fruits are apples as it is (do not simplify)? There are four apples in a fruit basket which contains 10 fruits. What fraction of the fruits, in simplest form, are apples? There are four apples in a fruit basket which contains 10 fruits. What percentage of the fruits are apples? There are four apples in a fruit basket which contains 10 fruits. What proportion...

In this question, there are 5 identical apples and 6 identical oranges to be distributed. (a)...

In this question, there are 5 identical apples and 6 identical oranges to be distributed. (a) How many ways are there to distribute the fruit among 4 children? 1 (b) How many ways are there to do this if each child needs to receive at least one orange and not all of the fruit is required to be handed out? (c) How many ways are there to distribute the fruit among 3 children such that no child receives two different...

Bowl 1 contains 7 red and 3 white chips. Bowl 2 contains 4 red and 5...

Bowl 1 contains 7 red and 3 white chips. Bowl 2 contains 4 red and 5 white chips. A chip is randomly selected from Bowl 1 and placed in Bowl 2, then two chips are drawn from Bowl 2 without replacement. Find the probability that both chips drawn from Bowl 2 are red.

a bag contains six apples. four of the apples are good and two of the apples...

a bag contains six apples. four of the apples are good and two of the apples are rotten. an apple is selected at random and is removed from the bag. then a second apple is randomly selected from the apples remaining in the bag. find the probability that: a.) both of the apples are rotten. b.) only one of the two apples is good c.) the first apple is rotten given that the second apple is good

Bowl A contains three red and two white chips, and bowl B contains four red and...

Bowl A contains three red and two white chips, and bowl B contains four red and three white chips. A chip is drawn at random from bowl A and transferred to bowl B. Compute the probability of then drawing a red chip from bowl B. Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A∪B)P(A∪B) when AA and BB are indepdenent. Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A|B)P(A|B) when AA and BB are mutually exclusive.

Please show steps, thank you 1) A bowl contains eleven bananas, five of which are ripe....

Please show steps, thank you 1) A bowl contains eleven bananas, five of which are ripe. If three bananas are selected at random without replacement, find the following probabilities: Exactly two are ripe At most one is ripe 2) Experiment: (Binomial Distribution) In a survey, 83% of children recognized the character SpongeBob Square Pants. If eight children are selected at random, find the probability: Exactly three will recognize SpongeBob. Find the mean for this distribution Find the variance for this...

a bowl contains 1 red, 1 black and 1 yellow jellybean. Two jellybeans are selected in...

a bowl contains 1 red, 1 black and 1 yellow jellybean. Two jellybeans are selected in succession, without first being replaced. Draw a tree diagram and represent all possible combinations. Two jelly beans are selected in succession, with the first jellybean being replaced before second is drawn. Draw a tree diagram representing all combinations. If a card is drawn from a deck find the probabilty of getting a diamond. a 5 or a heart, a 5 and a heart, a...

There are two countries Home and Foreign. They can produce two goods, apples and bananas. Home...

There are two countries Home and Foreign. They can produce two goods, apples and bananas. Home has 1,200 units of labor available and Foreign has a labor force of 800. The table below contains the unit labor requirement in Foreign and Home for each of two goods. Banana Apples Home aB = 1 hour per pound aA = 2 hours per pound Foreign aB = 4 hours per pound aA = 5 hours per pound 1. Suppose that, after opening...

Question