In which scenario is the theoretical probability equals to the experimental probability a a coin is flipped at six times and heads appear each time b a number of q is rolled six times and and even number it appears each time see a number of cube is rolled six times and a six appear four times d a corn is flip six times and heads up here three times

Question

In which scenario is the theoretical probability equals to the experimental probability a a coin is flipped at six times and heads appear each time b a number of q is rolled six times and and even number it appears each time see a number of cube is rolled six times and a six appear four times d a corn is flip six times and heads up here three times

Answer 1

The theoretical probability is the probability of an event occurring based on mathematical calculations, while the experimental probability is the probability of an event occurring based on actual experiments or observations.

In scenario a, if a coin is flipped six times and heads appear each time, the theoretical probability of getting heads on each flip is (1/2)^6 = 1/64. If this is what is observed in the experiment, the theoretical and experimental probabilities would be equal in this scenario.

In scenarios b, c, and d, the theoretical probability and experimental probability would likely not be equal since the outcomes do not guarantee a specific result every time. The theoretical probability of rolling an even number on a die (scenario b) or rolling a six on a die (scenario c) is not 1, so the experimental probability may differ from the theoretical probability. Similarly, in scenario d, the theoretical probability of getting heads on a coin flip is 1/2, so the experimental probability of getting heads three out of six times may not be equal to the theoretical probability.