Q: A SINGLE RESULT OR SET OF RESULTS OF A TRIAL IS AN ___.

EVENT. An event is any outcome or group of outcomes we measure the probability of, like rolling an even number.

Q: A SINGLE POSSIBLE RESULT OF ONE TRIAL IS AN ___.

OUTCOME. An outcome is one possible result of a single trial; the set of all outcomes is the sample space.

Q: AN EVENT WITH NO PREDICTABLE PATTERN IS SAID TO BE ___.

RANDOM. A random event has no predictable pattern; each outcome occurs by chance within a known probability.

Q: THE RATIO OF FAVOURABLE TO UNFAVOURABLE OUTCOMES IS THE ___.

ODDS. Odds compare favourable to unfavourable outcomes, unlike probability which compares favourable to the total.

Q: THE PROBABILITY THAT AN EVENT DOES NOT HAPPEN IS ITS ___.

COMPLEMENT. The complement is the probability an event does not occur; an event and its complement sum to 1.

Q: EVENTS WHERE ONE DOES NOT AFFECT THE OTHER ARE ___.

INDEPENDENT. Independent events don't influence each other, so their joint probability is found by multiplying.

Q: THE LONG-RUN AVERAGE VALUE OF A RANDOM OUTCOME IS THE ___ VALUE.

EXPECTED. Expected value is the long-run average: each outcome's value weighted by its probability, then summed.

Q: AN EVENT THAT CANNOT HAPPEN, WITH PROBABILITY ZERO, IS ___.

IMPOSSIBLE. An impossible event has probability 0; a certain event has probability 1. All others fall between.

Q: THE NUMBER OF TIMES AN OUTCOME OCCURS IS ITS ___.

FREQUENCY. Frequency counts how often an outcome occurs; dividing by the total trials gives relative frequency.

Q: THE PROBABILITY OF A, GIVEN THAT B HAS HAPPENED, IS ___ PROBABILITY.

CONDITIONAL. Conditional probability measures the chance of A once B is known, narrowing the sample space to B.

Question 1

A FAIR COIN LANDS HEADS 4 TIMES. P(HEADS ON THE NEXT FLIP)?

Accepted Answer

1/2

Question 2

A SINGLE RESULT OR SET OF RESULTS OF A TRIAL IS AN ___.

Accepted Answer

EVENT

Question 3

P(ROLLING A 4) ON A FAIR DIE?

Accepted Answer

1/6

Question 4

A SINGLE POSSIBLE RESULT OF ONE TRIAL IS AN ___.

Accepted Answer

OUTCOME

Question 5

A CARD IS DRAWN. GIVEN IT IS RED, WHAT IS P(IT IS A HEART)?

Accepted Answer

1/2

Question 6

AN EVENT WITH NO PREDICTABLE PATTERN IS SAID TO BE ___.

Accepted Answer

RANDOM

Question 7

P(TAILS) ON ONE COIN FLIP?

Accepted Answer

1/2

Question 8

A BAG HAS 4 RED, 6 GREEN. WHAT IS P(DRAWING GREEN)?

Accepted Answer

3/5

Question 9

TWO DICE ARE ROLLED. WHAT IS P(AT LEAST ONE SIX)?

Accepted Answer

11/36

Question 10

THE RATIO OF FAVOURABLE TO UNFAVOURABLE OUTCOMES IS THE ___.

Accepted Answer

ODDS

Question 11

P(AN EVEN NUMBER) ON A FAIR DIE?

Accepted Answer

1/2

Question 12

THE PROBABILITY THAT AN EVENT DOES NOT HAPPEN IS ITS ___.

Accepted Answer

COMPLEMENT

Question 13

WIN £10 ON A SIX, LOSE £2 OTHERWISE. EXPECTED VALUE?

Accepted Answer

£0

Question 14

EVENTS WHERE ONE DOES NOT AFFECT THE OTHER ARE ___.

Accepted Answer

INDEPENDENT

Question 15

P(RAIN) IS 0.3. WHAT IS P(NO RAIN)?

Accepted Answer

0.7

Question 16

THE LONG-RUN AVERAGE VALUE OF A RANDOM OUTCOME IS THE ___ VALUE.

Accepted Answer

EXPECTED

Question 17

A DIE IS ROLLED. WHAT IS P(EVEN OR GREATER THAN 3)?

Accepted Answer

2/3

Question 18

AN EVENT THAT CANNOT HAPPEN, WITH PROBABILITY ZERO, IS ___.

Accepted Answer

IMPOSSIBLE

Question 19

A SPINNER HAS 4 EQUAL PARTS. P(ONE PART)?

Accepted Answer

1/4

Question 20

P(NOT A SIX) ON A FAIR DIE?

Accepted Answer

5/6

Question 21

THE ODDS OF WINNING ARE 1 TO 4. WHAT IS P(WINNING)?

Accepted Answer

1/5

Question 22

THE NUMBER OF TIMES AN OUTCOME OCCURS IS ITS ___.

Accepted Answer

FREQUENCY

Question 23

TWO COINS ARE FLIPPED. WHAT IS P(TWO HEADS)?

Accepted Answer

1/4

Question 24

THE PROBABILITY OF A, GIVEN THAT B HAS HAPPENED, IS ___ PROBABILITY.

Accepted Answer

CONDITIONAL

Question 25

P(WIN) IS 1/5. OVER 30 GAMES, EXPECTED WINS?

Accepted Answer

6

PROBABILISTIC REASONING

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