Probability Quiz: Coin and Die Tossing

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Questions and Answers

What is the probability of event a.{bw, wb} occurring?

  • 3/4
  • 1/4
  • 1/2 (correct)
  • 0

Given the set of outcomes {rr, ry, rg, yr, yy, yg, gr, gy, gg}, what is the probability of event b.{bb}?

  • 0 (correct)
  • 1/3
  • 1/4
  • 1/9

If the probability of an event occurring is 0.25, what fractional representation does this correspond to?

  • 1/2
  • 1/3
  • 1/4 (correct)
  • 2/5

What is the probability that a tourist sees exactly two out of four local people able to speak English?

<p>47% (C)</p> Signup and view all the answers

What is the probability associated with event a given the total outcomes of {rr, ry, rg, yr, yy, yg, gr, gy, gg}?

<p>4/9 (D)</p> Signup and view all the answers

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Study Notes

Probability Quiz: Coin Toss

  • Possible Outcomes: Heads (H), Tails (T)
  • Event 1: Getting heads (H)
    • Probability: 1/2 (50%)
  • Event 2: Getting tails (T)
    • Probability: 1/2 (50%)

Probability Quiz: Two Coin Toss

  • 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%)

Probability Quiz: Rolling a Die

  • 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

Probability Quiz: Choosing a Colour

  • 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

Probability Quiz: Cards and Probability

  • 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)

Probability Quiz: Probability of Events

  • 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

Probability Quiz: Calculating Probability

  • 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%

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