Data Handling
Exercise 3.4
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) You are older today than yesterday.
certain to happen
(ii) A tossed coin will land heads up.
Can happen but not certain.
(iii) A die when tossed shall land up with 8 on top.
impossible
(iv) The next traffic light seen will be green.
can happen but not certain.
(v) Tomorrow will be a cloudy day.
can happen but not certain.
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?
Sample space = M1, M2, M3, M4, M5, M6.
n(S) = 6
let event A: the probability of drawing a marble with number 2
A = { M2}
n(A) = 1
p(A) = n(A)/ n(S)
= 1/ 6
let event B: the probability of drawing a marble with number 5
B = { M5}
n(B) = 1
p(B) = n(B)/ n(S)
= 1/ 6
3). A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Sample space = {H,T}
n(S) = 2
let event A: the probability of my team to start
A = { H}
n(A) = 1
p(A) = n(A)/ n(S)
= 1/ 2
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