Question

On three days, Ben throws darts at a target.

Here are his results.

Number of hits

Number of misses

30

10

Number of throws

Monday

40

Tuesday

30

Wednesday

50

Total

120

18

12

36

14

84

36

(1)

a) Use Tuesday's results to estimate the

probability of Ben hitting the targe.

b) Use the total of the results to estimate the

probability of Ben of hitting the target.

c) Which estimate would give the most reliable probability?

A- the one from Tuesday or B - the one from the Total?

(1)

(1)

Total marks: 3

Answer 1

0.6 ;

0.7

Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)

Explanation:

Probability of hitting the target using Tuesday's result :

P(hitting the target):

Probability = required outcome / Total possible outcomes

Required outcome = number of hits = 18

Total possible outcomes = number of throws =. 30

Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6

B.)

Probability of hitting the target using Total result:

Required outcome = number of hits = 84

Total possible outcomes = number of throws =. 120

= 84 / 120

= 0.7