Probability

The video tutorial covers the concepts of random experiments, sample space, and probability. It distinguishes between theoretical and experimental probabilities using examples involving marbles. Theoretical probability is based on expected outcomes, while experimental probability relies on actual outcomes. The lesson concludes with a recap and encourages applying these concepts to real-life scenarios.

What is the sample space in a random experiment?

• The set of all possible outcomes

• The actual outcome of the experiment

• The subset of possible outcomes

• The probability of an event

How is the probability of an event calculated?

• By dividing the number of favorable outcomes by the total number of possible outcomes

• By counting the number of times the event occurs

• By comparing it to another event

• By estimating the likelihood of the event

In theoretical probability, what is the probability of drawing a green marble from a box containing 1 yellow, 2 green, 3 red, and 4 blue marbles?

• 4/10

• 3/10

• 2/10

• 1/10

What distinguishes experimental probability from theoretical probability?

• It is based on actual outcomes rather than expected outcomes

• It uses a formula to calculate probabilities

• It is always more accurate

• It does not require any experiments

If 5 out of 30 marbles drawn are yellow, what is the experimental probability of drawing a yellow marble?

• 1/3

• 1/6

• 1/5

• 1/10