1. Theoretical Probability: d- 4/5
2. Experimental Probability: b- 21/30
To solve these probability problems, let's first define theoretical and experimental probability:
1. Theoretical probability is based on the possible outcomes in a perfect world, without any practical experiments. It's calculated as the ratio of the number of favorable outcomes to the number of all possible outcomes.
2. Experimental probability is based on the actual results from an experiment. It's calculated as the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
Theoretical Probability:
For the theoretical probability that the pointer lands on a section with a number greater than or equal to 2, we would consider all the sections in the spinner. From the spinner image, it's clear that there are 5 sections, each labeled 1 to 5. Since sections 2, 3, 4, and 5 are greater than or equal to 2, there are 4 favorable outcomes out of 5 possible outcomes. Thus, the theoretical probability is 4/5.
Experimental Probability:
For the experimental probability, we look at the actual frequencies from the experiment. The spinner landed on numbers greater than or equal to 2 a certain number of times out of 30 spins. To find this, we sum the frequencies of outcomes 2, 3, 4, and 5:
Outcome 2: 5 times
Outcome 3: 5 times
Outcome 4: 7 times
Outcome 5: 4 times
Adding these up gives us 5 + 5 + 7 + 4 = 21 times out of 30 spins.
So, the experimental probability that the pointer lands on a section with a number greater than or equal to 2 is 21/30, which can also be simplified.