Question

In a group of 30 people, 9 people study French and 14 people study Spanish. Seven people study both French and Spanish.

What is the probability of studying French or Spanish?

Answer 1

or means not both
if  people study both then the number of people studying either french or spanish is 7 less than the total number of peple studig french and spanish because thoe 7 are common to both groups

9+14=total=23
23-7=16 people studing either

proabblity=desiredoutcmes/totalpossibe
desired=16
total=30
so 16/30=8/15 is the probablity

Answer 2

Answer: $\dfrac{8}{15}$

Step-by-step explanation:

Given: Total students in group= 30

Number of students study French =  9

Number of students study Spanish = 14

Number of students study both French and Spanush =7

Number of students study either French or Spanish = 9+14-7=16

Now, the probability of studying French or Spanish is given by :-

$\text{P(French or Spanish)}=\dfrac{16}{30}=\dfrac{8}{15}$

Hence, the probability of studying French or Spanish is $\dfrac{8}{15}$