If you rolled a dice 96 times, how many times would you expect to roll a number less than 3?
A. 32
B. 48
C. 16
D. 23
posting the same question twice in a row doesn't increase the "chances"
of it getting answered, probrably the opposite in fact
To find out how many times you'd expect to roll a number less than 3 if you rolled a dice 96 times, let's break it down step by step:
1. Determine the probability of rolling a number less than 3 on a single roll of a fair six-sided dice.
- A number less than 3 can be either 1 or 2.
- Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, and 6), two are less than 3 (1 and 2).
- So, the probability of rolling a number less than 3 on a single roll is 2/6 or 1/3.
2. Calculate the expected number of times to roll a number less than 3 by multiplying the probability with the total number of rolls.
- Probability of rolling a number less than 3 on a single roll = 1/3
- Total number of rolls = 96
- Expected number of times to roll a number less than 3 = Probability of rolling less than 3 * Total number of rolls
= (1/3) * 96
= 32
Therefore, the expected number of times to roll a number less than 3 when rolling a dice 96 times is 32.
So, the correct answer is A. 32.