EC= eye color
RFL= ring finger longer
RFNL= ring finger not longer
EC RFL RFNL Total
Blue 20 17 37
Brown 27 22 49
Green 15 7 22
Other 12 5 17
Total 74 51 125
D) What is the probability that the student selected has green eyes and a ring finger longer than his/her index finger?
E)What is the probability that the student selected has green eyes or a ring finger longer than his/her index finger?
Please help and explain/show how to do these.
D. 7/125 (specific category/grand total)
E. Green eyes = 22/125 (category total/grand total)
RFL = 74/125
For "either-or" probability, you add the individual probabilities.
I hope this helps. Thanks for asking.
To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes.
D) To find the probability that the student selected has green eyes and a ring finger longer than their index finger, we need to find the number of students with both green eyes and a longer ring finger.
The table shows that there are 15 students with green eyes (EC = Green), 7 of which have a ring finger longer (RFL = 7). Therefore, the number of students with green eyes and a longer ring finger is 7.
The total number of students is given in the table as 125.
So, the probability of a student having green eyes and a ring finger longer than their index finger is:
Number of students with green eyes and a longer ring finger / Total number of students
= 7 / 125
= 0.056 or 5.6% (approximately)
E) To find the probability that the student selected has green eyes or a ring finger longer than their index finger, we need to find the number of students with either green eyes or a longer ring finger or both.
From the table, we see that there are 15 students with green eyes (EC = Green) and 51 students with a longer ring finger (RFL = 51).
However, we need to be careful not to double-count the students who have both green eyes and a longer ring finger. From the previous calculation, we know that this number is 7.
So, the number of students with green eyes or a longer ring finger or both is:
Number of students with green eyes + Number of students with a longer ring finger - Number of students with both
= 15 + 51 - 7
= 59
The total number of students is given in the table as 125.
Therefore, the probability of a student having green eyes or a ring finger longer than their index finger is:
Number of students with green eyes or a longer ring finger or both / Total number of students
= 59 / 125
= 0.472 or 47.2% (approximately)