·
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!
