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10.03 Multi-stage experiments

Interactive practice questions

The following spinner is spun and a normal six-sided die is rolled. The product of their respective results is recorded.

a

Complete the following table to represent all possible outcomes.

    Spinner
    $2$2 $3$3 $5$5 $8$8
Die $1$1 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
$2$2 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
$3$3 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
$4$4 $\editable{}$ $12$12 $\editable{}$ $\editable{}$
$5$5 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
$6$6 $\editable{}$ $\editable{}$ $\editable{}$ $48$48
b

State the total number of possible outcomes.

c

What is the probability of an odd product?

d

What is the probability of rolling a $5$5 on the dice and scoring an even product?

e

What is the probability of spinning a $3$3 on the spinner or scoring a product which is a multiple of $4$4?

Medium
6min

The following two spinners are spun and the sum of their respective spins are recorded.

Medium
3min

An archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is $\frac{1}{3}$13.

Medium
< 1min
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Outcomes

MA11-7

uses concepts and techniques from probability to present and interpret data and solve problems in a variety of contexts, including the use of probability distributions

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