A standard number cube is tossed. What is the probability that the number will be less than or equal to 3?

2 Answers
Mar 10, 2018

#P(3 " or less on a die") = 3/6 =1/2#

Explanation:

To determine the probability of an event happening, there are two values you need to determine first.

  1. How many possible outcomes are there altogether?
    In this case with a toss of the die, there are #6# outcomes, being the numbers from #1# to #6#.

  2. Of the possible outcomes how many of them will meet our conditions? IN this case we want a number equal to or less than #3#, ... the numbers #1,2,3#. There are #3# desired outcomes.

#"Probability" = "number of desirable outcomes"/"total number of possible outcomes"#

#P(3 " or less on a die") = 3/6 =1/2#

Write a probability as a fraction and give in its simplest form.

Mar 10, 2018

#1/2#

Explanation:

assuming that the numbers on the standard number cube are #1-6#, there are #6# possible numbers to get.

the numbers less than or equal to #3#, in the range #1-6#, are #1,2# and #3#.

this means that there are #3# possible numbers to get that are less than or equal to #3#.

probability = number of outcomes possible / total number of outcomes

#3/6 = 1/2#