I place a plate containing 4 pieces of mango, 3 pieces of pear and 2 pieces of apple in front of my 9 month old daughter. She grabs a piece of fruit puts it in her mouth, and with disgust spits it out onto the floor. She then reaches in and grabs another two pieces of fruit. What is the probability that the first piece of fruit selected was pear, and the second and third piece of fruit was mango
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
I place a plate containing 4 pieces of mango, 3 pieces of pear and 2 pieces of apple in front of my 9 month
old daughter. She grabs a piece of fruit puts it in her mouth, and with disgust spits it out onto the floor. She
then reaches in and grabs another two pieces of fruit. What is the probability that the first piece of fruit
selected was pear, and the second and third piece of fruit was mango
Total number of fruits in the plate is 4+3+2 = 9.
The probability that the daughter selects pear from the 3 pieces of pears is 3/9.
The child spits out the fruit in to the floor. Thus, there are 8 fruits in the plate out of which 4 are mangoes. The probability that the child picks mango second is 4/8.
Now, there are 7 fruits in the basket of which 3 are mangoes. The probability that the third piece of fruit child picks is mango is 3/7.
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