Compound Probability Lists

You have a bag with 5 red marbles and 3 blue marbles. You want to calculate the probability of drawing a red marble and then, without replacing it, drawing a blue marble. Which list correctly represents the sample space for this scenario?

• {RR, RB, BR, BB}

• {R, B}

• {RR, RB, BB, BR, R, B}

• {RR, RB, BR}

If you flip a coin and then roll a 6-sided die, how should you list the sample space for this compound event?

• {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

• {H, T, 1, 2, 3, 4, 5, 6}

• {HT, 123456}

• {H+T, 1+2+3+4+5+6}

What is the correct way to list the sample space for choosing a card from a deck of 52 cards and then rolling a 4-sided die?

• {Ace1, Ace2, Ace3, Ace4, ..., King1, King2, King3, King4}

• {1, 2, 3, 4, Ace, ..., King}

• {Ace + 1, ..., King + 4}

• {Card, Die}

You have two bags. Bag A contains 3 green and 2 yellow balls. Bag B contains 4 red and 1 blue ball. You draw one ball from each bag. How should you list the sample space for this event?

• {GR, GB, YR, YB}

• {G, Y, R, B}

• {G3, Y2, R4, B1}

• {Green, Yellow, Red, Blue}

If you have a spinner with 4 sections labeled A, B, C, and D, and you spin it twice, how do you list the sample space for this event?

• {AA, AB, AC, AD, BA, BB, BC, BD, CA, CB, CC, CD, DA, DB, DC, DD}

• {A, B, C, D}

• {AB, BC, CD, DA}

• {A+B, B+C, C+D, D+A}

You are rolling two different 6-sided dice, one red and one blue. What is the correct way to list the sample space for the sum of the numbers that come up?

• {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

• {R1+B1, R2+B2, ..., R6+B6}

• {1, 2, 3, 4, 5, 6}

• {R1, R2, R3, R4, R5, R6, B1, B2, B3, B4, B5, B6}

If you draw a card from a standard deck of 52 cards, replace it, and then draw another card, how should you list the sample space for the types of cards drawn?

• {Heart, Diamond, Club, Spade}

• {HH, HD, HC, HS, DH, DD, DC, DS, CH, CD, CC, CS, SH, SD, SC, SS}

• {H, D, C, S}

• {Card1, Card2}

You flip a coin three times. What is the correct way to list the sample space for this sequence of events?

• {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

• {H, T}

• {HH, HT, TH, TT}

• {H+H+H, H+T+T, T+H+H, T+T+T}

If you are choosing a number from 1 to 5 and then choosing a letter from A to C, how should you list the sample space for this event?

• {1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C, 4A, 4B, 4C, 5A, 5B, 5C}

• {1, 2, 3, 4, 5, A, B, C}

• {1+A, 2+B, 3+C}

• {Number, Letter}

You have a jar with 2 orange, 3 purple, and 4 green marbles. You draw two marbles without replacement. How should you list the sample space for the colors of the marbles drawn?

• {OO, OP, OG, PO, PP, PG, GO, GP, GG}

• {O, P, G}

• {2O, 3P, 4G}

• {Orange, Purple, Green}