Unit 5 Test - AP Stats Probability

Front

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

Back

The probability of rolling a 4 is 1/6. The probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2. Therefore, the combined probability is (1/6) * (1/2) = 1/12.

Front

What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

Back

There are 5 even numbers (2, 4, 6, 8, 10) out of 10 cards, so the probability of drawing an even number is 5/10 = 1/2. There are 6 cards (5, 6, 7, 8, 9, 10) greater than or equal to 5, so the probability is 6/10 = 3/5. The combined probability is (1/2) * (3/5) = 3/10.

Front

Find the probability of drawing a 10 from a standard deck of 52 cards.

Back

There are 4 tens in a standard deck of 52 cards. Therefore, the probability is 4/52.

Front

What is the probability of rolling a number cube numbered (1, 2, 3, 4, 5, 6) and spinning a spinner with 4 sections (A, B, C, D) to get (1 and A)?

Back

The probability of rolling a 1 is 1/6 and the probability of spinning A is 1/4. Therefore, the combined probability is (1/6) * (1/4) = 1/24.

Front

What is the probability of not choosing a red rose from a vase containing 12 red roses, 5 yellow roses, and 3 white roses?

Back

Total roses = 12 + 5 + 3 = 20. Non-red roses = 5 + 3 = 8. Therefore, the probability of not choosing a red rose is 8/20.

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 independent events?

Back

For independent events A and B, the probability of both A and B occurring is P(A and B) = P(A) * P(B).

Front

Explain the difference between independent and dependent events.

Back

Independent events do not affect each other's outcomes, while dependent events do. For dependent events, the probability of the second event is affected by the outcome of the first.

Front

What is the probability of drawing two aces in a row from a standard deck of cards without replacement?

Back

The probability of drawing the first ace is 4/52. The probability of drawing the second ace after one ace has been drawn is 3/51. Therefore, the combined probability is (4/52) * (3/51).

Front

What is the complement of an event in probability?

Back

The complement of an event A is the event that A does not occur, denoted as A'. The probability of the complement is P(A') = 1 - P(A).