Answer:
Step-by-step explanation:
Since only one out of eight said they had six letters
P(6)=1/8
The experimental probability of someone having [tex]6[/tex] letters in their name based on this experiment is [tex]\frac{1}{6}[/tex] .
Experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
[tex]Experimental \ probability = \frac{Total \ number \ of \ outcomes}{Number \ of \ favorable \ outcomes}[/tex]
We have,
Total number of students [tex]=8[/tex]
Person having [tex]6[/tex] letters in the name [tex]=1[/tex]
Other [tex]7[/tex] person says different number of letters.
So,
Experimental probability of someone having [tex]6[/tex] letters in their name is determined ;
[tex]Experimental \ probability = \frac{Total \ number \ of \ outcomes}{Number \ of \ favorable \ outcomes}[/tex]
[tex]=\frac{1}{6}[/tex]
So, Experimental probability of someone having [tex]6[/tex] letters in their name is [tex]\frac{1}{6}[/tex] , which is determined using the above given formula.
Hence, we can say that the experimental probability of someone having [tex]6[/tex] letters in their name based on this experiment is [tex]\frac{1}{6}[/tex] .
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