Question

If a biased coin with probability of heads 2/3 is tossed 3 times, what is the probability of getting all the heads

Answer 1

Answer:

Step-by-step explanation:for each try the probability of head will be 2/3 so ans will be 2/3*2/3*2/3 i.e.8/27

Answer 2

Answer:

The correct answer will be 8/27.

Step-by-step explanation:

As the coin is biased and the probability of head is already given as 2/3, therefore we have to use this while finding the probability and not 1/2( which is the normal probability of head in case of unbiased coins).

Since this is an independent event, the occurence of one event is not dependent on the occurence of another event and so going by the formula the events need to be multiplied.

So, probability of getting a head all the three times: 2/3 × 2/3 × 2/3 = 8/27.