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**I/GCSE** **Mathematics**** Question Analysis Topic: Mathematics - Short Questions**

**Exam Questions:**

1) Two different dice are tossed together. Find the probability that the product of the two numbers on the top of the dice is 6.

2) Three different coins are tossed together. Find the probability of getting

(i) exactly two heads

(ii) at least two heads

(iii) at least two tails

**Answers:**

For I/GCSE Mathematics, you should know:

## 1) From the question, we know that the favourable outcomes are the two numbers rolled making the** product of 6**. In other words, **{(1,6),(6,1),(2,3)(3,2)}**.

## As there are 36 total possible outcomes, the **probability **of getting a **favourable outcome **is **4 / 36 = 1/9**.

## 2) By tossing three coins **simultaneously**, we have eight possible outcomes (here, the order matters):

## - HHH

## - HHT

## - HTH

## - THH

## - HTT

## - THT

## - TTH

## - TTT* (H and T for head and tail respectively)*

## (i) Getting **exactly two heads **- the favourable cases would be {HHT, HTH, THH} i.e., **3 / 8**.

## (ii) At **least** two **heads **- {HHH, HHT, HTH, THH} i.e., **4 / 8 = 1 / 2**.

## (iii) At **least **two **tails **- {HTT, THT, TTH, TTT} i.e., **4 / 8 = 1 / 2**.

Work hard for your I/GCSE Mathematics examination!

End of analysis. Great!