Question 1:
Tell whether the following is certain to happen, impossible, can happen but not certain.
(i) You are older today than yesterday.
(ii) A tossed coin will land heads up.
(iii) A die when tossed shall land up with 8 on top.
(iv) The next traffic light seen will be green.
(v) Tomorrow will be a cloudy day.
Answer:
(i) Certain
(ii) Can happen but not certain
3. Impossible as there are only six faces on a dice marked as 1, 2, 3, 4, 5, 6 on it.
(iv) Can happen but not certain
(v) Can happen but not certain
Question 2:
There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.
(i) What is the probability of drawing a marble with number 2?
(ii) What is the probability of drawing a marble with number 5?
Answer:
(i) Probability =
P (appearance of 2) =
(ii) P (appearance of 5) =
Question 3:
A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Answer:
A coin has two faces − Head and Tail. One team can opt either Head or Tail.
Probability =
Probability (our team starts first) =
Question 4:
A box contains pairs of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that it will make a pair?
Answer:
It can be observed that while closing the eyes, one can draw either a black sock or a white sock. Therefore, there are two possible cases.
Probability =
Probability (a pair of white socks will be formed) =