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Probability of mutually exclusive and not mutually exclusive event

Quiz by Cedric

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10 questions
Show answers
  • Q1
    In a deck of cards, what is the probability of drawing either a King or a Club in a single draw, given that these events are not mutually exclusive?
    P(King or Club) = P(King) * P(Club)
    P(King or Club) = P(Club) - P(King and Club)
    P(King or Club) = P(King) + P(Club) - P(King and Club)
    P(King or Club) = P(King) + P(Club)
    30s
  • Q2
    When flipping two coins, what is the probability of getting at least one head, considering these events are not mutually exclusive?
    P(at least one head) = P(H1 and H2)
    P(at least one head) = P(H1) + P(H2)
    P(at least one head) = P(H1) + P(H2) - P(H1 and H2)
    P(at least one head) = P(H1) * P(H2)
    30s
  • Q3
    If you roll a six-sided die, what is the probability of rolling a 3 or a number greater than 4?
    P(3 or greater than 4) = P(3) + P(greater than 4) - P(3 and greater than 4)
    P(3 or greater than 4) = P(3) + P(greater than 4)
    P(3 or greater than 4) = P(3) / P(greater than 4)
    P(3 or greater than 4) = P(3) * P(greater than 4)
    30s
  • Q4
    Consider a spinner divided into 4 equal sections labeled A, B, C, and D. What is the probability of the spinner landing on A or B?
    P(A or B) = P(A and B)
    P(A or B) = P(A) + P(B)
    P(A or B) = P(A) + P(B) - P(A and B)
    P(A or B) = P(A) * P(B)
    30s
  • Q5
    A box contains 3 apples and 4 oranges. What is the probability of drawing an apple or an orange from the box?
    The events are mutually exclusive: P(Apple or Orange) = P(Apple) * P(Orange)
    The events are mutually exclusive: P(Apple or Orange) = P(Apple) + P(Orange)
    The events are not mutually exclusive: P(Apple or Orange) = P(Apple) * P(Orange)
    The events are not mutually exclusive: P(Apple or Orange) = P(Apple) + P(Orange) - P(Apple and Orange)
    30s
  • Q6
    In a bag containing 4 red balls and 6 blue balls, what is the probability of drawing a red ball or a blue ball?
    The events are not mutually exclusive: P(Red or Blue) = P(Red) + P(Blue) - P(Red and Blue)
    The events are mutually exclusive: P(Red or Blue) = P(Red) * P(Blue)
    The events are mutually exclusive: P(Red or Blue) = P(Red) + P(Blue)
    The events are not mutually exclusive: P(Red or Blue) = P(Red) * P(Blue)
    30s
  • Q7
    In a standard deck of cards, what is the probability of drawing an Ace or a Heart, considering these events are not mutually exclusive?
    P(Ace or Heart) = P(Ace) * P(Heart) - P(Ace and Heart)
    P(Ace or Heart) = P(Ace) + P(Heart)
    P(Ace or Heart) = P(Ace) + P(Heart) - P(Ace and Heart)
    P(Ace or Heart) = P(Ace and Heart)
    30s
  • Q8
    In a jar with 5 red marbles and 7 green marbles, what is the probability of picking a red marble or a green marble?
    The events are not mutually exclusive: P(Red or Green) = P(Red) + P(Green) - P(Red and Green)
    The events are not mutually exclusive: P(Red or Green) = P(Red) * P(Green)
    The events are mutually exclusive: P(Red or Green) = P(Red) + P(Green)
    The events are mutually exclusive: P(Red or Green) = P(Red) * P(Green)
    30s
  • Q9
    If you roll a six-sided die, what is the probability of rolling a number less than 3 or an odd number?
    P(less than 3 or odd) = P(less than 3) + P(odd)
    P(less than 3 or odd) = P(less than 3) + P(odd) - P(less than 3 and odd)
    P(less than 3 or odd) = P(odd) - P(less than 3)
    P(less than 3 or odd) = P(less than 3) * P(odd)
    30s
  • Q10
    In a standard deck of cards, what is the probability of drawing a Queen or a Diamond, considering these events are not mutually exclusive?
    P(Queen or Diamond) = P(Diamond) - P(Queen and Diamond)
    P(Queen or Diamond) = P(Queen) * P(Diamond)
    P(Queen or Diamond) = P(Queen) + P(Diamond) - P(Queen and Diamond)
    P(Queen or Diamond) = P(Queen) + P(Diamond)
    30s

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