If you toss a coin 6 times and it comes down heads on each occasion. Can you say that the probability of getting a head is 1? Give reasons.
Step 1: Recall the basic rule of probability. For a fair coin, there are two equally likely outcomes: Head (H) or Tail (T).
Step 2: The probability of getting a head in one toss is:
\( P(H) = \dfrac{1}{2} = 0.5 \)
Step 3: Every coin toss is independent. This means that what happened in the past (for example, 6 heads in a row) does not change the probability of the next toss.
Step 4: Even if you got 6 heads in a row, the probability of getting a head in the 7th toss is still:
\( P(H) = \dfrac{1}{2} \)
Step 5: If the probability of head were 1, that would mean it is certain to get a head every time, which is not true for a fair coin.
Conclusion: The probability of getting a head is always \(0.5\), not 1, regardless of how many heads appeared before.