An experiment consists of spinning the hand of a disc number

An experiment consists of spinning the hand of a disc numbered 1, 2, 3, 4, and 5 and then observing the region in which the pointer stops. (If the needle stops on a line, the result is discounted and the needle is spun again. Enter for the empty set.)

(a) What is the appropriate sample space S for this experiment?

(b) Describe the event E \"the spinner points to the number 2.\"

(c) Describe the event F \"the spinner points to an odd number.\"

Solution

solution:

if there is a line where the disc stopped and the outcome is counted

the sample space would be

S={1,2,3,4,5,}

here represents that the disc is stopped inbetween two numbers

b)

event E when pointer points to number 2

then probablity of getting no. 2=(favourable outcomes)/(total outcomes)

=1/6

c)

event F when pointer points to an odd number

then probablity of getting odd no.=(favourable outcomes)/(total outcomes)

total odd numbers= 1,3,5=3

=3/6=1/2