What is the probability of getting 3 sevens in a row on 3 independent rolls of a pair of fair dice, given that the first two rolls were sevens? Provide your answer as a reduced fraction.
Probability = Favorable Outcomes / Total Outcomes
There are 6 sides on a dice. Therefore Probability of getting a 7 = 1 / 6
Given that we have got a seven in the first 2 rolls. Which means these events have occurred, and therefore the probability of each event = 1 * 1 = 1
Therefore the probability of a 7 coming on the 3rd roll, given that you already have a 7 in the first 2 rolls
P = 1 * 1 * (1 / 6) = 1 / 6
What is the probability of getting 3 sevens in a row on 3 independent rolls of...
What is the probability, p(A|B), where A is the roll of a “3” or a “4” on a fair die and B is the probability of tossing two heads in a row with a fair coin? It is assumed the rolls of the die and the tosses of the coins are independent. Provide your answer as a reduced fraction.
A pair of dice is rolled. What is the probability of getting a sum of 2? What is the probability of getting a sum of 2? (Simplify your answer. Type a fraction.)
(A) A pair of dice is rolled one time, what is the probability of getting sum of 8 or double. (B) A pair of dice is rolled 5 times, what is the probability of getting sum of 8 or double on all 5 rolls
Let A= rolling 2 on pair of fair dice and B = getting 1 heads on 3 rolls of a fair coin. Assuming the rolls of the dice are independent of the coin tosses, what is Prob (A AND B)? (round to 4 decimals)
You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 7? (Enter your answer as a fraction.) 1 (b) What is the probability of getting a sum of 11? (Enter your answer as a fraction.) 2 (c) What is the probability of getting a sum of 7 or 11? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No
(A) If you roll 3 six-sided dice, what is the probability of getting an overall score of 8? (B) If you roll 3 six-sided dice 4 times, what is the probability of getting an overall score of 8 four times in a row? (C) If you roll 3 six-sided dice 2 times, what is the probability of getting an overall score of 8 on the first roll and an overall score of 3 on the second roll?
What is the probability of getting a total of 5 or 9 or 13 when a pair of fair dice is tossed?
3. A pair of fair dice are tossed. Find the probability of getting (a) a total of 4. (b) at most a total of 4
1) What is the probability of rolling exactly two 4’s during four rolls of the dice? 2) What is the probability of getting a total of at least two 4’s during four rolls of the dice?
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...