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QUIZ (1.4) •Solve. a. A Spinner is spun randomly once. What is the (P) of spinning a prime number? What could be the amount of times a prime number could pecur şöinning 40 times?

Respuesta :

[tex]\begin{gathered} \text{ the probability of spinning a prime number is P.} \\ \text{ Therefore,} \end{gathered}[/tex][tex]P=\frac{\text{ number of prime numbers on the spinner}}{\text{ the total numbers on the spinner}}[/tex]

the numbers on the spinner are: 1, 2, 3, 4, 5, 7, 8, 13

the prime numbers on the spinners are = 2, 3, 5, 7, 13

Therefore,

the number of prime numbers on the spinner = 5,

and

the number of all the numbers on the spinner = 8

Therefore,

[tex]\begin{gathered} \text{ Therefore,} \\ P=\frac{5}{8} \end{gathered}[/tex]

Thus, the probability(P) of spinning a prime in each spin is 5/8

Hence, after spinning 40times,

[tex]\text{ the amount of times a prime number could occur = }\frac{5}{8}\times40=25[/tex]

therefore, a prime number could occur 25 times in 40 spins

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