NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.2
Question 12

Question. 12

Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be a tail? Give reasons.

Answer:

False

Detailed Answer with Explanation:

Step 1: When we toss a coin, there are only two possible outcomes – Head (H) or Tail (T).

Step 2: Each toss of a coin is called an independent event. This means that the result of one toss does not change or affect the result of the next toss.

Step 3: Even if Sushma got Tail 3 times in a row, the coin has no memory of what happened before.

Step 4: On the 4th toss, the probability of getting Head is still \(\tfrac{1}{2}\) and the probability of getting Tail is also \(\tfrac{1}{2}\).

Step 5: So, we cannot say that Tail will surely come next. Both Head and Tail are equally likely.

Therefore, the statement is False.

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.2 | Detailed Answers