Estimate & Multiply Probabilities Typeit

a) A biased die is thrown 10 times and lands on six 3 times.
Calculate the relative frequency that the die lands on six. Type your answer without spaces. Make sure you use forward slash with no spaces (x/y) for a fraction.  π + − ÷ × < > ≤ ≥ π

b) Two four-sided dice, labelled as shown in the sample space diagram on the left above, are rolled simultaneously and their scores are added together.
i) State the values which would complete the table.
a = π + − ÷ × < > ≤ ≥ π , b = π + − ÷ × < > ≤ ≥ π , c = π + − ÷ × < > ≤ ≥ π , d = π + − ÷ × < > ≤ ≥ π ,
e = π + − ÷ × < > ≤ ≥ π , f = π + − ÷ × < > ≤ ≥ π , g = π + − ÷ × < > ≤ ≥ π , h = π + − ÷ × < > ≤ ≥ π ,
i = π + − ÷ × < > ≤ ≥ π , j = π + − ÷ × < > ≤ ≥ π , k = π + − ÷ × < > ≤ ≥ π , l = π + − ÷ × < > ≤ ≥ π ,
m = π + − ÷ × < > ≤ ≥ π , n = π + − ÷ × < > ≤ ≥ π , o = π + − ÷ × < > ≤ ≥ π , p = π + − ÷ × < > ≤ ≥ π ,

ii) Use the table to state the most likely total score shown on the dice, and its probability.
Most likely score: π + − ÷ × < > ≤ ≥ π - probability (without spaces): π + − ÷ × < > ≤ ≥ π

c) The probability that I walk on a Sunday is 0.1, and run is 0.9.
Use the tree diagram above to calculate the probability that I walk on just one of the two days. π + − ÷ × < > ≤ ≥ π

d) The probability that John gets to work without seeing any red traffic lights is 0.1.
Calculate the probability that over the next 5 working days he gets to work without seeing any red traffic lights. π + − ÷ × < > ≤ ≥ π

e) Box A contains 10 ice creams (1 vanilla, 9 toffee).
Box B contains 20 ice creams (19 vanilla, 1 toffee).
Box C contains 30 ice creams (1 vanilla, 1 toffee and 28 strawberry).
Jane takes one ice cream from each box.
Work out the probability that the three ice creams are not of the same type.

Give your answer as a fraction without spaces. Make sure you use forward slash (i.e. x/y) for your fraction. π + − ÷ × < > ≤ ≥ π