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In a box there are two coins: a standard coin with head and tail and a 2-headed coin. You randomly pick one of the coins, toss it and see a head. What is the probability that the other side of this coin is a head?

Respuesta :

Answer:

Probability that the other side of this coin is a head = 0.5

Step-by-step explanation:

Given that there are two coins: a standard coin with head and tail and a 2 - headed coin.

When tossing a randomly chosen coin once the sample space obtained will be :

  • Head of a standard coin.
  • Tail of a standard coin.
  • Front Head side of 2-headed coin.
  • Back Head side of 2-headed coin.

Now since we have to find the probability that the other side of this coin which is tossed is also a head which means probability of selecting a 2-headed coin.

From the above cases there are two outcomes which are in favour from total of four outcomes;

Hence, Probability that the other side of this coin is a head = [tex]\frac{1}{2}[/tex] = 0.5 .

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