Two Biased coins are thrown together. On one of the coins head appears
twice as frequently as tail on the other for every 2

Two Biased coins are thrown together. On one of the coins head appears
twice as frequently as tail on the other for every 2 times
that head appears, tail appear
s 3 times. The probability that
the coins show both heads or both tail is ??​

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2 thoughts on “Two Biased coins are thrown together. On one of the coins head appears <br />twice as frequently as tail on the other for every 2”

  1. ADDITIONAL INFORMATION:

    When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.

    When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.Therefore, total numbers of outcome are 22 = 4

    When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.Therefore, total numbers of outcome are 22 = 4The above explanation will help us to solve the problems on finding the probability of tossing two coins.

    SOLUTION:

    When two different coins are tossed randomly, the sample space is given by

    When two different coins are tossed randomly, the sample space is given byS = {HH, HT, TH, TT}

    When two different coins are tossed randomly, the sample space is given byS = {HH, HT, TH, TT}Therefore, n(S) = 4.

    • getting two heads:

    Let E1 = event of getting 2 heads. Then, E1 = {HH} and, therefore,

    n(E1) = 1.

    Therefore, P(getting 2 heads) = P(E1) = n(E1)/n(S) = 1/4.

    • getting two tails:
    • getting two tails:Let E2 = event of getting 2 tails. Then,
    • getting two tails:Let E2 = event of getting 2 tails. Then, E2 = {TT} and, therefore, n(E2) = 1.
    • getting two tails:Let E2 = event of getting 2 tails. Then, E2 = {TT} and, therefore, n(E2) = 1. Therefore, P(getting 2 tails) = P(E2) = n(E2)/n(S) = 1/4.

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  2. Answer:

    See below

    Step-by-step explanation:

    When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i.e., in short (H, H) or (H, T) or (T, T) respectively; where H is denoted for head and T is denoted for tail.

    Reply

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