Final answer:
The experimental probability is found by dividing the occurrences of the desired outcome by the total number of attempts. For a six-sided die, the odds of getting an odd number are the same as for getting an even number, which is theoretically 1/2. Experimental results may vary and must be calculated based on the outcomes of the tosses.
Step-by-step explanation:
The experimental probability of the number cube showing an odd number after being tossed 40 times can be determined by dividing the number of times an odd number appeared by the total number of tosses. The numbers on a fair six-sided die are {1, 2, 3, 4, 5, 6}. In this case, the odd numbers are 1, 3, and 5, which are half of the outcomes. To calculate the experimental probability, one must conduct the experiment, record how often an odd number comes up, and then use that data to find the probability.
For example, if in those 40 tosses, odd numbers appeared 22 times, the experimental probability would be 22/40, which simplifies to 11/20 or 0.55. It is important to note that experimental probability is different from theoretical probability, which in the case of rolling an odd number on a six-sided die would be 1/2 because there are three odd numbers out of six possible outcomes.
Similarly, understanding what P(EM) and P(E OR M) mean could also be useful. P(EM) indicates the probability of both even number and multiple of three occurring simultaneously, which is the probability of rolling a 6. For P(E OR M), it represents the probability of either an even number or a multiple of three occurring, which means rolling a 2, 3, 4, or 6.