A game of chance consists of spinning an arrow on a circular board, divided into 8 equal parts, which comes to res pointing at one of the numbers 1, 2, 3,...., 8 (Fig. 9), which are equally likely outcomes. What is the probability that the arrow will point at (i) an odd number (ii) a number greater than 3 (iii) a number less than 9.
Answers
Answer:
(i)
(ii)
(iii) 1
Step-by-step explanation:
Size of sample space = 8
(i) Number of odd numbers = 4
Therefore, probability of an odd number =
or,
(ii) Number of number greater than 3 = 5
Therefore, probability of a number greater than 3=
(iii) Number of numbers less than 9 = 8
Therefore, probability of a number lesser than 9=
Answer:
(i) 1/2 (ii) 5/8 (iii) 1
Step-by-step explanation:
(1) An odd number:
There are 8 numbers altogether
There are 4 odd numbers (They are 1, 3, 5 and 7)
P(odd number = 4/8 = 1/2
(2) A number greater than 3
There are 8 numbers altogether
There are 5 numbers greater than 3 (They are 4, 5, 6, 7 and 8)
P(greater than 3) = 5/8
(3) A number less than 9
There are 8 numbers altogether
There are 8 numbers less than 9
P(Less than 9) = 8/8 = 1
Answer: (i) 1/2 (ii) 5/8 (iii) 1