5.2-5.4 Extra Practice IB Y1 2024

Front

What is the probability of an event occurring if it is expected to happen 3 times out of 8 trials?

Back

0.375

Front

If a certain event has a probability of 0.281, how many times would you expect it to occur in 100 trials?

Back

28.1

Front

What is the probability of an event if it occurs 4 times out of 9 trials?

Back

0.444

Front

If an event has a probability of 0.463, what is the likelihood of it not occurring?

Back

0.537

Front

What is the probability of an event occurring if it is expected to happen 47 times out of 99 trials?

Back

0.474

Front

Define probability in the context of statistics.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

P(E) = Number of favorable outcomes / Total number of outcomes.

Front

Explain the concept of independent events in probability.

Back

Independent events are those whose outcomes do not affect each other; the occurrence of one does not change the probability of the other.

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the expected outcomes, while experimental probability is based on actual experiments and observed outcomes.

Front

How do you calculate the expected value of a random variable?

Back

Expected value (E) = Σ [x * P(x)], where x is the value and P(x) is the probability of x.