Move two choices to the blanks to correctly complete the sentences.

Question

asked Feb 28, 2022 98.0k views

1 Answer

Kosta Kontos · Answer 1 · 2022-03-06T04:16:47+0000

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

n(S) = 4 --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

P(HT) = (n(HT))/(n(S))

P(HT) = (1)/(4)

Multiply this by the number of tosses

P(HT) * n= (1)/(4) * 20

P(HT) * n= 5

Solving (b); experimental probability of HT

Here, we make use of the table

P(HT) = (n(HT))/(n(S))

P(HT) = (6)/(20)

P(HT) = 0.30 ---- Experimental Probability

In (a), the theoretical probability is:

P(HT) = (1)/(4)

P(HT) = 0.25 ---- Experimental Probability

By comparison;

0.30 > 0.25