Answer:
0.507 (rounded off to 3 decimal places)
Step-by-step explanation:
Shells that contain 1 peanut=78
Cracked shells= 19 out of 78
To calculate probability we will divide the number of peanuts with cracked shells by the total number of shells having one peanut.
we get probability= [tex]\frac{19}{78}[/tex]
Shells that contain 2 peanuts=95
Cracked shells= 25
To calculate probability we will divide the number of peanuts with cracked shells by the total number of shells having two peanuts.
we get probability= [tex]\frac{25}{95}[/tex]
We can calculate the number of shells containing 3 peanuts and find out its probability but it is unnecessary as there are no cracked shells and anything divided by 0 is 0.
we get probability=0
The final probability that the shell is cracked will be the sum of the three probabilities we found earlier.
[tex]\frac{19}{78} + \frac{25}{95} + 0[/tex] = 0.507 (rounded off to 3 decimal places)
