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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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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

   

   so for 30 times of multiple of 4, we need to the spinner

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

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