A number cube is rolled, then what is the probability of rolling an odd number or a power of two?

Answer 1

The probability is #5/6#.

Probability is #(desired)/(all)#

Let's find the possible outcomes of rolling odd.

1,3,5 are all odd. We have 3 outcomes.

Now find the possible outcome of a power of 2. 2 is #2^1#, 4 is #2^2#. We have 2 DIFFERENT outcomes.

(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)

Now, we find the total number of possible outcomes. A dice has 6 different outcomes.

Now add up the desired outcomes, #3 + 2 = 5#
and so the probability is #5/6#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

The probability of rolling an odd number or a power of two on a number cube can be calculated by first determining the total possible outcomes and then counting the favorable outcomes.

A standard number cube has 6 faces numbered 1 through 6.

  1. Odd numbers on a number cube: 1, 3, 5 (3 possible outcomes).
  2. Powers of two on a number cube: 1, 2, 4, 8 (4 possible outcomes).

Now, we need to find the common outcomes (1 is common to both sets). So, the favorable outcomes are 1, 3, 5, 2, 4, 8 (6 possible outcomes).

The total possible outcomes on a number cube are 6.

The probability of rolling an odd number or a power of two is ( \frac{6}{6} = 1 ), which is 100% or certain.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7