A die is rolled. What is the probability of the outcome is either 2 or a number less than 4?

1 Answer
Hihi
Mar 18, 2018

P(2)#=1/6#

P(#<4#)#=1/2#

Explanation:

As 2 is also a number less than 4, I will assume that they are two separate questions below.

We have to know that for a fair dice, there is an equal probability of getting any of the six numbers: 1, 2, 3, 4, 5, 6.
Hence, the probability of getting a certain number is #1/6#.

For getting a 2,
The total number of possible outcomes #=6#
The number of favourable outcomes (i.e. outcomes that fulfills the requirement) #=1#

Therefore, P(#2#)#=1/6#.

For getting a number less than 4,
The total number of possible outcomes #=6#
The number of favourable outcomes (i.e. outcomes that fulfills the requirement)
#=3# (remember that 4 is not counted)

Therefore, P(#<4#)#=3/6=1/2#.

Note: we use P() to refer to probability, with the words inside the bracket giving a brief description of the probability we are talking about.

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