Answer:
The probability that you don’t roll a 2 or a 3 = 2/3
Step-by-step explanation:
Formula for Probability = Number of Possible Outcomes / Number of events
We are told in the question that it is just a one number cube. This means that :
We have the Probability of rolling the 6 sided cube and obtaining, 1, 2, 3, 4, 5, and 6.
We are told in the question to find the probability of not rolling a 2 or 3.
Hence, this means
Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6).
Therefore,
Probability (of rolling a 1) = 1/6
Probability (of rolling a 4) = 1/6
Probability (of rolling a 5) = 1/6
Probability (of rolling a 6) = 1/6
Therefore, Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6) = P(1) + P(4) + P(5) + P(6)
= 1/6 +1/6 + 1/6 + 1/6
= 4/6
= 2/3.
Therefore, the probability that you did not roll a 2 or 3 ( i.e P( not 2 or 3)) = 2/3