A number between 1 and 10, inclusive, is randomly chosen. Events A, B, C, and D are defined as follows.
A: {The number is even}
B: {The number is less than 7}
C: {The number is less than or equal to 7}
D: {The number is 5}
Identify one pair of independent events.
A)B and D
B)A and C
C)A and B
D)A and D

Question

Quizplus · Accepted Answer

Events A and B are independent because the probability of a number being even (A) does not affect the probability of it being less than 7 (B). The total number of outcomes (1-10) includes 5 even numbers (2, 4, 6, 8, 10) and 6 numbers less than 7 (1-6). The probability of A or B occurring does not change the likelihood of the other occurring.

A Number Between 1 and 10, Inclusive, Is Randomly Chosen