Results 1 to 2 of 2

Math Help - [SOLVED] 2 Easy questions I guess...how do I do these problems?

  1. #1
    YogiBear21
    Guest

    [SOLVED] 2 Easy questions I guess...how do I do these problems?

    #1) Suppose that there are 10 candidates for a prospective job, and only 3 of them have taken STA 2023 in the past. If you select two candidates at random from these 10, what is the probability that both candidates have taken STA 2023 in the past? Please type your answer in as a percentage, rounded to the nearest whole percent. (NOTE: Do NOT round any decimals or percentages in the middle of your calculations. Only round your final answer.)

    #2) Suppose you are playing a game that involves a spinner with 4 possible results. The spinner lands in the red zone 20% of the time, the yellow zone 30% of the time, the green zone 35% of the time, and the purple zone 15% of the time. Assume each spin is independent of all other spins. In the game, you spin twice in a row on a single turn. Let A = {1st spin of a turn lands in the red zone} and B = {2nd spin of a turn lands in the yellow zone}. In a single turn, what is P(A or B)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,716
    Thanks
    634
    Hello, YogiBear21!

    1) Suppose that there are 10 candidates for a prospective job,
    and only 3 of them have taken STA 2023 in the past.
    If you select two candidates at random from these 10, what is the probability
    that both candidates have taken STA 2023 in the past?
    P(1st took STA2023) .= .3/10
    P(2nd took STA2023) .= .2/9

    P(both took STA2023) .= .(3/10)(2/9) .= .1/15 . .7%



    #2) Suppose you are playing a game that involves a spinner with 4 possible results.
    The spinner lands in the red zone 20% of the time, the yellow zone 30% of the time,
    the green zone 35% of the time, and the purple zone 15% of the time.
    Assume each spin is independent of all other spins.

    In the game, you spin twice in a row on a single turn.
    Let A = {1st spin of a turn lands in the red zone}
    and B = {2nd spin of a turn lands in the yellow zone}.

    In a single turn, what is P(A or B)?
    We are given: .P(A) = 0.2, .P(B) = 0.3

    . . Since the events are independent: .P(A ∩ B) = (0.2)(0.3) = 0.06


    Formula: .P(A U B) .= .P(A) + P(B) - P(A ∩ B)

    . . Therefore: .P(A U B) .= .0.2 + 0.3 - 0.06 .= .0.44

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. My guess ... easy proof ?
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: July 23rd 2010, 02:28 AM
  2. [SOLVED] easy complex number questions
    Posted in the Algebra Forum
    Replies: 8
    Last Post: October 23rd 2009, 11:20 PM
  3. [SOLVED] "Easy" Convergence Problems
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 5th 2009, 09:11 PM
  4. some Easy Questions
    Posted in the Algebra Forum
    Replies: 44
    Last Post: November 23rd 2008, 04:15 AM
  5. Replies: 7
    Last Post: July 6th 2008, 11:13 PM

Search Tags


/mathhelpforum @mathhelpforum