Probabilitiy

What is experimental probability?

• Experimental probability is the probability based on past data and trends.

• Experimental probability is the probability calculated using theoretical formulas.

• Experimental probability is the probability that never changes.

• Experimental probability is the probability obtained from conducting an experiment and observing the outcomes.

Define theoretical probability.

• Theoretical probability is the likelihood of an event happening based on all possible outcomes, assuming each outcome is equally likely.

• Theoretical probability is the likelihood of an event happening based on random guesses.

• Theoretical probability is the likelihood of an event happening based on personal beliefs.

• Theoretical probability is the likelihood of an event happening based on past outcomes.

Explain the concept of independent events.

• Independent events are events where the occurrence of one event changes the outcome of the other event.

• Independent events are events where the occurrence of one event does not affect the probability of the occurrence of the other event.

• Independent events are events where the occurrence of one event guarantees the occurrence of the other event.

• Independent events are events where the occurrence of one event increases the probability of the occurrence of the other event.

If you flip a fair coin 10 times and get 6 heads, what is the experimental probability of getting a head?

• 0.6

• 0.4

• 0.7

• 0.5

If you roll a fair six-sided die, what is the theoretical probability of rolling a 3?

• 1/3

• 1/6

• 1/4

• 1/5

In a deck of cards, what is the probability of drawing a red card and then drawing a face card?

• 1/13

• 1/52

• 1/26

• 1/17

If you have a bag with 5 red marbles and 3 blue marbles, what is the probability of drawing a red marble and then a blue marble without replacement?

• 4/9

• 3/8

• 2/5

• 15/56

A spinner is divided into 4 equal sections colored red, blue, green, and yellow. What is the probability of spinning red and then blue?

• 1/16

• 1/12

• 1/4

• 1/8

What is the probability of drawing an ace from a standard deck of 52 playing cards?

• 1/13

• 1/52

• 4/52

• 1/26

If a jar contains 10 white, 8 black, and 12 red marbles, what is the probability of drawing a black marble first and then a red marble without replacement?

• 8/87

• 96/870

• 12/29

• 96/1450