Question

# The diagram shows a spinner. When the arrow is spun the probability ofscoring a 2 is 0.3 .

Probability

The diagram shows a spinner. When the arrow is spun the probability of scoring a 2 is 0.3 . The arrow is spun twice and the scores are added. What is the probability that the total score is 6?6? Express the answer as a decimal. $$\sqrt{2}.$$

The total score is 6 when both spin results in scoring a 3. Using complement of an event, the probability of scoring a 3 is $$1-0.3=0.7$$. Since the two spins are independent, we multiply the probabilities of scoring a 3:
$$P(3\ and\ 3)=0.7×0.7=0.49$$