Question

a spinner is divided into 15 identical sectors and labeled 1 through 15 how many spins are expected for a multip;le of 4 to be spun 30 times

Answer 1

We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

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Answer 2

Answer:

The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

from the question, given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

now, find the how many spins are expected for a multiple of 4 to be spun 30 times.

The multiple of 4 are 8, 12 and 15.

so the number of favourable outcomes be 3.

the total number of outcomes is 15.

Now the

$probability = 3 \div 5 = 1 \div 5$

so for 30 times of multiple of 4, we need to the spinner $5 \times 30 = 150 \: times$

Therefore,The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

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