math - probability

a) What is the probability of obtaining 2 Heads when a coin is tossed twice?
b) What is the probability of obtaining 1 Head when a coin is tossed twice?

Keep in mind, the coins are not tossed simultaneously.

  1. 👍
  2. 👎
  3. 👁
  1. Taking H = getting heads, and T = getting tails,

    The sample space of the event of tossing a coin twice is as follows:

    S = {(H,H),(T,H),(H,T),(H,H)}

    There are a total of four outcomes.
    Probability of an event = (Favourable outcomes/Total outcomes)

    a) Fav. outcomes = 1
    P(E) = 1/4

    b) Fav. outcomes = 2
    P(E) = 2/4 = 1/2

    1. 👍
    2. 👎
  2. PS, your question made the point:
    "Keep in mind, the coins are not tossed simultaneously."

    The outcomes of two coins tossed simultaneously or a single coin tossed twice in succession would be the same.
    The same would be true for 3 coins tossed simultaneously or a single coin tossed 3 times in succession,
    4 coins ... , etc.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.55. Suppose that the coin is tossed 3 times. What is the probability that all 3 tosses are Heads? please help ,e to solve this

  2. math

    a student claims that if a fair coin is tossed and comes up heads 5 times in a row, then according to the law of averages the probability of tails on the next toss is greater than the probability of heads. What is your reply?

  3. probability

    John has 3 unique coins such that the probability of obtaining a head when the coin is flipped is 110, 210 and 310, respectively. If he flips each of the 3 coins once, the probability that at least 1 heads appears is p. What is

  4. Math

    A biased coin lands heads with probabilty 2/3. The coin is tossed 3 times a) Given that there was at least one head in the three tosses, what is the probability that there were at least two heads? b) use your answer in a) to find

  1. Prealgebra/probability

    A coin is tossed three times. Use a tree diagram to find the number of possible outcomes that could produce exactly two heads. I don't know how to write out a tree diagram on here, but I think this one is heads -> heads, tails ->

  2. Math

    If two coins are tossed, what is the probability that the first coin will show heads and the second coin will show tails? a. 1/2 b. 1/4 c. 1/8 d. 1/16

  3. Algebra Probability

    A coin is tossed twice. What is the probability of tossing heads, and then tails, given that the coin has already shown heads in the first toss?

  4. math

    Coin A is tossed three times and coin B is tossed two times. What is the probability that more heads are tossed using coin A than coin B? THE ANSWER IS NOT 7/16

  1. probability

    You flip a fair coin (i.e., the probability of obtaining Heads is 1/2) three times. Assume that all sequences of coin flip results, of length 3, are equally likely. Determine the probability of each of the following events. {HHH}:

  2. math answer check

    Three coins are tossed, and the number of heads observed is recorded. (Give your answers as fractions.) (a) Find the probability for 0 heads. Incorrect: Your answer is incorrect. . Your answer cannot be understood or graded. More

  3. Math

    What is the probability of obtaining exactly three heads in four flips of a coin, given that at least two are heads? (Enter the probability as a fraction.) I keep getting 2/3 but its wrong. Help!!

  4. Probability

    A coin is tossed 6 times. what is the probability of getting at least two heads?

You can view more similar questions or ask a new question.