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

Question

Eli Assouline · Accepted Answer

P(2)#=1/6#

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

Eva Abramson · Answer

undefined To find the probability of rolling either a 2 or a number less than 4 on a die, we need to determine the favorable outcomes and the total number of possible outcomes.

Favorable outcomes:
- Rolling a 2 (1 favorable outcome)
- Rolling a number less than 4 (which includes 1 and 3) (2 favorable outcomes)

Total number of possible outcomes when rolling a die:
- There are 6 sides on a die, numbered from 1 to 6.

So, the total number of possible outcomes is 6.

Now, let's calculate the probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = (1 + 2) / 6

Probability = 3 / 6

Probability = 1 / 2

So, the probability of rolling either a 2 or a number less than 4 on a die is 1/2 or 0.5.