Stats - Chapter 4 Flashcard 2

Front

What is the probability of picking a blue marble and then a red marble from a bag containing 2 blue, 3 black, and 5 red marbles without replacement?

Back

1/9

Front

If a student is picked at random from a group of 80 students, what is the probability that they play all three sports if 31 students play all three?

Back

31/80

Front

Given sets A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9}, what is A ⋂ B?

Back

{1, 2, 3, 5}

Front

How many people participated in both weight-training (W) and cardio (C) if the answer is 15?

Back

15

Front

What is the probability that a randomly selected student plays both Hockey and Rugby if 36 out of 80 students play both?

Back

36/80

Front

Define probability in the context of selecting items from a set.

Back

Probability is the measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What does the intersection of two sets represent?

Back

The intersection of two sets A and B, denoted A ⋂ B, is the set of elements that are common to both A and B.

Front

How do you calculate the probability of two independent events occurring in sequence?

Back

Multiply the probability of the first event by the probability of the second event.

Front

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

Back

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

Front

Explain what 'without replacement' means in probability.

Back

'Without replacement' means that once an item is selected, it is not returned to the set, affecting the total number of items available for subsequent selections.