What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?

Solutions

Expert Solution

Since only 1 combination out of 36 is 1-1 the probability is 1/36

The first die gives 6 possibilities, each with equal probability.

For each number of eyes on the first, the second die (or the second roll) has again 6 possible outcomes.

So we have a total of 36 possible combinations (from 1-1, 1-2, 1-3..... to 6-4, 6-5 and 6-6).

Only one combination (1-1) is considered 'favourable', so 1/36

Probabilities is 1/36

Nipun Maiti answered 2 years ago

Next > < Previous

Related Solutions

(1) For the random experiment “toss a fair coin twice and then roll a balanced die...

(1) For the random experiment “toss a fair coin twice and then roll a balanced die twice”, what’s the total count of the sample space? Let A be the event {both tosses show HEADs and both rolls show sixes}, B = {both tosses show the same side of the coin and both rolls show the same number}, C = {both tosses show the same side OR both rolls show the same number} and D = {the 1st roll of the...

You roll 3 four-sided dice. What is the probability that you get an even number on...

You roll 3 four-sided dice. What is the probability that you get an even number on all 3 dice?

You roll two six-sided even dice. What is the probability that you get a score of...

You roll two six-sided even dice. What is the probability that you get a score of at least 11? a. 2/11 b. 1/12 c. 1/18 d. 1/6     You toss a fair coin 3 times in a row. What is the probability of getting at most two heads? a. 3/4 b. 1/4 c. 3/8 d. 7/8

suppose you roll two fair dice. A) what is the probability that you will roll an...

suppose you roll two fair dice. A) what is the probability that you will roll an even number on the first die AND a 5 on the second die B) What is the probability that the sum of the numbers on the two dice is 9? show all work.

You roll a balanced die two times. Is the second roll independent of the first roll?

1. Assume we roll 6 dice. What is the probability that the roll contains: a. 6...

1. Assume we roll 6 dice. What is the probability that the roll contains: a. 6 of the same number b. 3 of one number, 2 of a second number, and 1 non-matching number c. 3 pairs of different numbers

Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die...

Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die is a three,given that the sum is greater than 7.

1. In the experiment of rolling a balanced die twice. Let X be the minimum of...

1. In the experiment of rolling a balanced die twice. Let X be the minimum of the two numbers obtained and Y be value of the first roll minus the value of the second roll. Determine the probability mass functions and cumulative distribution functions of X and Y, and sketch their graphs please also solve probability for Y

You roll a fair six-sided die and don't look at it. What is the probability that...

You roll a fair six-sided die and don't look at it. What is the probability that it is a 5 given that your friend looks and tells you that it is greater than 2? Leave your answer as a fraction.

You roll a fair die three times. What is the probability of each of the following?...

You roll a fair die three times. What is the probability of each of the following? a) You roll all 4's. b) You roll all even numbers. c) None of your rolls gets a number divisible by 3. d) You roll at least one 2. e) The numbers you roll are not all 2's.

Subjects