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 } text { . } ]

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 } text { . } ]

Question
Probability
asked 2021-02-19
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 } \text { . } ]

Answers (1)

2021-02-20
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
0

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