## Hints: probability conceptual questions for IITJEE Math

This refers to the previous blog on probability conceptual questions for IITJEE Math.

**Hints:**

- The pin may land point up or down. Do you think these cases are equally likely?
- This is the same as if we tossed two coins once. Then, the outcome is a pair where a and b may be tails or heads.
- Assuming that the die is regular (fair), we have six equally likely outcomes/ For two dice, an outcome is a pair , where a is the number shown on the first die and b on the second.
- Again, we have pairs here, but we have to be careful, since the meaning and the range of a and b are different.
- In this example, there are many possibilities. We may want to know whether mug breaks or not, into how many pieces, which side up it lands (if in one piece).
- The description of the experiment is not precise. We can draw two cards at once or draw one, return it to the pack, and draw again.
- The result can be written as a sequence of six numbers.
- What is the maximum length of the match? How many games may be played?
- Is there a number N such that in N throws we shall certainly have heads up?
- We need to choose the scale and then decide what accuracy is possible.
- Is this a bus stop in the first place (in some cities they have trams)? Does the bus have a time table?
- Do we include the possibility that it will never arrive?
- In the extreme case, each letter on the page you consider may be a misprint. (We certainly hope it is not so). Thus, there are at most finitely many misprints.
- The number of accidents is not necessarily limited by the number of vehicles in the city. A vehicle may be involved in more than one accident on the same day.
- Depends on the type of display and the individual working habits.

Now, you can try the solutions.

Auf wiedersehen,

Nalin Pithwa

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