Question

give the correct numerical response. if s = {1, 2, 3, 4, 5, 6}, a is the set of elements of s that are less than 5, and b is the set of elements of s that are even, then the probability that a single element chosen from s belongs to a or b is ___. if s = {1, 2, 3, 4, 5, 6}, a is the set of elements of s that are less than 5, and b is the set of elements of s that are even, then the probability that a single element chosen from s belongs to a or b is (simplify your answer).

Explanation:

Step1: Define sets A and B

$A=\{1,2,3,4\}$, $B = \{2,4,6\}$

Step2: Find $A\cup B$

$A\cup B=\{1,2,3,4,6\}$

Step3: Calculate the probability

The total number of elements in $S$ is $n(S)=6$. The number of elements in $A\cup B$ is $n(A\cup B) = 5$. The probability $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{5}{6}$

Answer:

$\frac{5}{6}$