Estimate & Multiply Probabilities Diagnose

a) A biased die is thrown 50 times and lands on six 5 times.

Calculate the relative frequency of the die landing on six. Type your answer without spaces. Make sure you use forward slash (x/y) for a fraction. π + − ÷ × < > ≤ ≥ π

b) From the tree diagram shown above, calculate the probability that the person walks on exactly one of the two days. π + − ÷ × < > ≤ ≥ π

c) The probability that Kylie skips breakfast on a weekday is 0.1, and on a weekend day is 0.2.

Calculate, to 3 significant figures, the probability that she does not skip any breakfasts in the next 7 days. π + − ÷ × < > ≤ ≥ π

d) Box A contains 10 ice creams (1 vanilla, 2 toffee and 7 strawberry). Box B contains 20 ice creams (18 vanilla, 1 toffee and 1 strawberry).

Jane takes one ice cream from each box.

Work out the probability that the two ice creams are not of the same type. Type your answer without spaces. Make sure you use forward slash (x/y) for a fraction.  π + − ÷ × < > ≤ ≥ π