551 plants with white flowers and 261 with purple flowers. Find the empirical probability of eac type of flower.I need to know for white and purple. I have tried the way sI know to calculate and...

551 plants with white flowers and 261 with purple flowers. Find the empirical probability of eac type of flower.

I need to know for white and purple. I have tried the way sI know to calculate and keep failing.

Asked on by wilmothsj

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hustoncmk's profile pic

hustoncmk | High School Teacher | (Level 1) Assistant Educator

Posted on

To begin with you need to know that empirical probability is defined as the total number of times an event occurs compared to the total number of trials.

Empirical Probability Formula

P(E) = probability that an event, E, will occur.
top = number of ways the specific event occurs.
bottom =  number of ways the experiment could occur. The below formula is from the www.regentsprep.org website.

Empirical Probability Formula

P(E) = probability that an event, E, will occur.
top = number of ways the specific event occurs.
bottom =  number of ways the experiment could occur. 

In your problem, the P(purple) = 551/ (551 + 261) = 551/822 = .67 or 67%

the P(white) = 261/ (551 + 261) = 261/822 = .33 0r 33%

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

If trials are repeated under the same condtions then the  limit of the ratio of the number of times an event takes place to the total number of times of the trials , as the number of trials indefinitly  is called the probability of the happening of the event. It is assumed that the ratio approaches  definite  finite limit between 0 and1.

 The dermination of this type of probability depends upon the trials  or experiments, unlike mathematical or apriory definition of probablity.

But here we give you the mathematical or a priory probability only:

There are 551 white and 261 purple flower plants .  Take  identical 551+261 = 812 chits  and erite  W  in 551 chits  for white  and  P  in the other 261 chits for purple. Mix the chits  thoroughly and heap. Close your eyes and chose a flower. Record  W for the  white flower   and P if the chosen chit indicates purple.  Replace the chit . Do the trials for very great number of times. Count the W's and P's.

Now the mperical probablity of white flower plants = number of  W written chits/Ttotal number of trials.

The emperical probability of purple fower plants = number of P written chits chosen/ Total trials.

The a priory probability of white flower plants = 551 out of (551+261) flower plants = 551/(551+261) = 551/812.

A priority probabilty of Purple flower = 261/(551+261) = 261/812

 

 

 

 

 

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