5. The figure shows a fair, circular spinner with 4 sectors numbered 1, 2, 3 and 4. The angle of sector 1 is 120°, the angle of sector 2 is 60° and the angle of each of sectors 3 and 4 is 90°.The spinner is to be spun. The number of the sector in which the spinner's pointer stops is called the score. Calculate the probability that the score is a) 1 120° 2 60° b) 1 or 3 Figure 4 The spinner is now to be spun twice. c) Calculate the probability of a score of 2 with the first spin and then a score of 4 with the second spin. When the spinner is spun twice, the total score is the sum of the two scores, so in part (c), the total score is 2+4 = 6 d) Calculate the probability of a total score of 5 from two spins.

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5. The figure shows a fair, circular spinner with 4 sectors
numbered 1, 2, 3 and 4. The angle of sector 1 is 120°,
the angle of sector 2 is 60° and the angle of each of
sectors 3 and 4 is 90°.The spinner is to be spun. The
number of the sector in which the spinner's pointer
stops is called the score.
Calculate the probability that the score is
a) 1
1
120°
60°
3
b) 1 or 3
Figure 4
The spinner is now to be spun twice.
c) Calculate the probability of a score of 2 with the first spin and then a score of 4 with the second
spin.
When the spinner is spun twice, the total score is the sum of the two scores, so in part (c), the
total score is 2+4 = 6
d) Calculate the probability of a total score of 5 from two spins.
Transcribed Image Text:5. The figure shows a fair, circular spinner with 4 sectors numbered 1, 2, 3 and 4. The angle of sector 1 is 120°, the angle of sector 2 is 60° and the angle of each of sectors 3 and 4 is 90°.The spinner is to be spun. The number of the sector in which the spinner's pointer stops is called the score. Calculate the probability that the score is a) 1 1 120° 60° 3 b) 1 or 3 Figure 4 The spinner is now to be spun twice. c) Calculate the probability of a score of 2 with the first spin and then a score of 4 with the second spin. When the spinner is spun twice, the total score is the sum of the two scores, so in part (c), the total score is 2+4 = 6 d) Calculate the probability of a total score of 5 from two spins.
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