Question

A four-sided spinner is biased. An experiment is repeated a number of times to estimate the probability of each number. The table shows some of the results. Number 1 2 3 4

Relative frequency o.1 _ _ 0.3
The spinner lands on 2 twice as often as it lands on 3. The spinner is spun 50 times. How many times would you expect it to land on 2? Show how you decide. Remember that the four probabilities must add up to 1.​

Answer 1

We are given that the probability of landing on 2 is twice the probability of landing on 3, and the relative frequencies of landing on 1 and 4 are 0.1 and 0.3 respectively.

Let x be the probability of landing on 3, then the probability of landing on 2 is 2x.

The sum of probabilities of all possible outcomes is 1, so we can write:

0.1 + 2x + x + 0.3 = 1

Simplifying this equation, we get:

3x + 0.4 = 1

3x = 0.6

x = 0.2

Therefore, the probability of landing on 3 is 0.2 and the probability of landing on 2 is 2x = 0.4.

If the spinner is spun 50 times, we can expect it to land on 2 approximately 0.4 * 50 = 20 times

Explanation:

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