Probability Quiz: Coin and Die Tossing

Study Notes

Possible Outcomes: {bb, bw, wb, ww} where 'b' represents black and 'w' represents white
Event 1: Getting one black and one white
- Outcomes: {bw, wb}
- Probability: 1/2 (50%)
Event 2: Getting two blacks
- Outcomes: {bb}
- Probability: 1/4 (25%)

Possible Outcomes: {1, 2, 3, 4, 5, 6}
Event 1: Getting a 1 or a 3
- Probability: 2/6 (1/3)
Event 2: Getting an even number
- Probability: 3/6 (1/2)
Event 3: Getting a 7
- Outcomes: none, this event is impossible since there is no 7 on the die
- Probability: 0

Possible Outcomes: {rr, ry, rg, yr, yy, yg, gr, gy, gg} where 'r' represents red, 'y' represents yellow, and 'b' represents green.
Event 1: Getting at least one red
- Outcomes: {rr, ry, rg, yr, yg, gr, gy}
- Probability: 7/9
Event 2: Getting two of the same color
- Outcomes: {rr, yy, gg}
- Probability: 3/9 (1/3)
Event 3: Getting 3 reds
- Outcomes: none, this event is impossible
- Probability: 0

Event 1: Drawing a Queen from a standard deck of cards
- Probability: 4/52 (1/13)
Event 2: Drawing a red card
- Probability: 26/52 (1/2)
Event 3: Drawing a face card
- Probability: 12/52 (3/13)
Event 4: Drawing a 5
- Probability: 4/52 (1/13)

Event 1: The probability of a coin landing on tails is 50%
Event 2: The probability of rolling an even number on a die is 50%
Event 3: The probability of drawing a heart from a standard deck of cards is 1/4
Event 4: The probability of drawing a Jack, Queen, or King from a standard deck of cards is 12/52 or 3/13

Event 1: The probability of drawing a face card from a standard deck of cards is 3/13
- Probability: 12/52 (3/13)
Event 2: The probability of drawing a red or black card from a standard deck of cards is 1
- Probability: 52/52
Event 3: The probability of drawing a king from a standard deck of cards is 1/13
- Probability: 4/52
Event 4: A tourist encounters four locals. The probability of exactly two of them speaking English is 47%