Question

A dice is rolled 50 times. The score for each throw is recorded in the table below.

Score-1 Frequency-11
Score-2 Frequency-5
Score-3 Frequency-7
Score-4 Frequency-9
Score-5 Frequency-12
Score-6 Frequency-

a) the relative frequency of scoring a 1 was calculated as 11/50 or 0.22
Work out the relative frequency, as a decimal, of throwing a 4.
b) how many times would you expect to roll a 5 when this dice is thrown 3000 times?
c) how many times would you expect to roll a 5 when a FAIR dice is thrown 3000 times?

PLEASE HELP!

Answer 1

A. 0.18

B. 720

C. 500

Answer 2

Answer: a) 0.18, b) 720, c) 500

Explanation:

Since we have given that

Score-1 Frequency-11

Score-2 Frequency-5

Score-3 Frequency-7

Score-4 Frequency-9

Score-5 Frequency-12

Score-6 Frequency-50-(11+5+7+9+12)=6

a) relative frequency of scoring a 4 would be :

`(9)/(50)=0.18`

b) how many times would you expect to roll a 5 when this dice is thrown 3000 times?

It would become:

`(12)/(50)* 3000\\\\=12* 60\\\\=720`

c) how many times would you expect to roll a 5 when a FAIR dice is thrown 3000 times?

It would become

`(1)/(6)* 3000\\\\=500`

As we know that probability of getting a 5 from the fair die is given by:

`(1)/(6)`

Hence, a) 0.18, b) 720, c) 500