Q3. Samir spins a fair coin and records the results. In the first four spins ‘Heads' comes up each time. Samir says, ‘A head is more likely than a tail'. Is he correct? YES/ NO Give a reason for your answer.

The conclusion drawn by Samir is Not correct.

Step-by-step explanation:

The spinning of a fair coin is a Bernoulli experiment.

There are only two outcomes: Heads (H) or Tails (T).

Theoretically, each of the two outcomes has an equal probability of occurrence i.e. P (H) = P (T) = 0.50.

Now, suppose an experiment is conducted to test this theory.

The law of large numbers, in probability concept, states that as the number of times an experiment is conducted, say n, in increased, the average value of the experiment approaches the expected value.

To determine whether ‘A head is more likely than a tail', the experiment of spinning the coin must be repeated more than n = 4 times.

In statistics, n = 30 is considered as a large enough sample.

So, the conclusion drawn by Samir is Not correct.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.