Question
When rolling a 10 -sided die, what is the probability of getting a number less than or equal to 5 or a number divisible by 3? (3)/(10) (3)/(5) (1)/(2) (7)/(10)
Answer
4.3
(254 Votes)
Jacob
Elite · Tutor for 8 years
Answer
[]#By plugging the favorable number (7) and the total number of outcomes (10), the probability in this case is
. Hence, the correct choice is
.
Explanation
## Step1: Analyze the conditions # In this problem, we are rolling a ten-sided die and would like to find the probability of either getting a number that is less than or equal to 5, OR a number that is divisible by 3.## Step2: Count favorable outcomes #Numbers that are less than or equal to 5 on a 10-sided die are {1, 2, 3, 4, 5}, which is 5 numbers. Numbers that are divisible by 3 are {3, 6, 9}, which is 3 numbers. However, number 3 occurs in both conditions. So, the total number of distinct favorable numbers is 5 (for numbers less than or equal to 5) plus 2 (two remaining numbers divisible by 3 (i.e., 6 & 9) ) = 7.## Step3: Determine the probability of an event occurring #Total possible outcomes on 10-sided die = 10.The definition of the probability of an event occurring can be given as:\noindent ### **Probability of an event = Number of favorable outcomes / Total number of possible outcomes **