Answer:
The probability is 1/4 or 25%
Step-by-step explanation:
Since 100% matches the 100 value, we can have the percentage as the number of people that actually likes a particular movie
This mean; 20 people liked star Trek, 75 people liked Star wars and 10 people liked both
Let the number of people that liked neither be x
Mathematically, we can have the sum as follows for the set notation;
100 = (75-10) + (20-10) + 10 + x
100 = 65 + 10 + 10 + x
100 = 85 + x
x = 100-85
x = 15
What this mean is that 15 persons liked neither
The probability of selecting a random that likes both movies is simply the number of people that liked both/total number of people on the survey
Mathematically, that will be 10/100 = 1/10
For the probability that likes neither, we have the number that liked neither as 15
So the probability of selecting someone from here is 15/100 = 3/20
Since we have or between both probabilities, we will need to add both
So, mathematically, we have it that;
3/20 + 1/10 = (3 + 2)/20 = 5/20 = 1/4 or simply 25%
