Question

The diagram below shows all the possible totals from adding together the results of rolling two fair dice. a) What is the probability of rolling a total of 5 ? Give your answer as a fraction in its simplest form. b) If you rolled a pair of fair dice 360 times, how many times would you expect to roll a total of 5? + 1 2 3 4 5 6 1 2 3 6 4 5 6 234567 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 7 8 9 Scroll down 0 10 11 11 12​

Answer 1

The probability of rolling a total of 5 when rolling two fair dice is 1/36. If the dice were rolled 360 times, we would expect to roll a total of 5 approximately 10 times.

Step-by-step explanation:

a) To find the probability of rolling a total of 5, we need to determine the number of ways we can get a sum of 5 when rolling two fair dice. From the diagram, we can see that there is only one way to get a sum of 5, which is by rolling a 2 and a 3.

b) If we rolled a pair of fair dice 360 times, we can expect to roll a total of 5 approximately 360/36 = 10 times. This is because there are 36 possible outcomes when rolling two dice, and each outcome has an equal chance of occurring.

Answer 2

a) the probability is 1/9

b) 40 times

Step-by-step explanation:

There are a total of 36 possibilities.

Counting from the table, we see that we get a total of 5 in 4 cases ((1,4),(2,3),(3,2),(4,1))

So, the probability is,

P = 4/36

P = 1/9

b) if we rolled the pair 360 times, then each time, we would have a probability of 1/9 of rolling a total of 5. Hence we would expect to roll this

(1/9)(360) = 40 times