Answer:
- 1/243 ≈ 0.004 (which is a low probability)
Step-by-step explanation:
The event landing on a three or four on a rolling is independent of the event of landing on a three or four on any other rolling.
Thus, for independent events you calculate the joint probability as the product of the probabilities of each event:
- P(A and B and C and D and E) = P(A) × P(B) × P(C) × P(D) × P(E)
Here, P(A) = P(B) = P(C) = P(D) = P(E) = probability of landing on a three or four.
Now to calculate the probability of landing on a three or four, you follow this reasoning:
- Positive outcomes = three or four
- Number of positive outcomes = 2
- Possible outcomes = one, two, three, four, five, or six
- Number of possible outcomes = 6
- Probability = numer of positive outcomes / numer of possible outcomes
Finally, probability of landing on a three or four on all five rolls: (1/3)⁵ = 1/243 ≈ 0.004 ← answer