1. Define theoretical probability. 2. What is the probability of e

jack89515lg 2021-11-22 Answered
1. Define theoretical probability.
2. What is the probability of each of the following?
a) picking the 9 of clubs from a deck of cards ? \(\displaystyle{\left\lbrace{\frac{{t}}{{i}}}{o}{n}\right\rbrace}\)
b) flipping heads with a coin ? \(\displaystyle{\left\lbrace{d}{e}{c}{i}{m}{a}{l}\right\rbrace}\)
c) picking a diamond from a deck of cards ? \(\displaystyle{\left\lbrace{p}{e}{r}{c}{e}{n}{t}\right\rbrace}\)
d) rolling a with 1 die ? \(\displaystyle{\left\lbrace{\frac{{t}}{{i}}}{o}{n}\right\rbrace}\)
e) rolling an even number with 1 die ? \(\displaystyle{\left\lbrace{d}{e}{c}{i}{m}{a}{l}\right\rbrace}\)
f) flipping heads for or tails with a coin ? \(\displaystyle{\left\lbrace{p}{e}{r}{c}{e}{n}{t}\right\rbrace}\)
3. Define experimental probability.

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Expert Answer

memomzungup4
Answered 2021-11-23 Author has 1294 answers
Step 1
1. Theoretical probability is probability that is determined on the basis of reasoning.
2. a) picking the 9 of clubs from a deck of cards \(\displaystyle{\frac{{{1}}}{{{52}}}}{\left({\frac{{t}}{{i}}}{o}{n}\right)}\)
b) flipping heads with a coin \(\displaystyle{\frac{{{1}}}{{{2}}}}={0.5}{\left({d}{e}{c}{i}{m}{a}{l}\right)}\)
c) picking a diamond from a deck of cards choose 13 form 52. Which is \(\displaystyle{25}\%{\left({p}{e}{r}{c}{e}{n}{t}\right)}\)
d) rolling a 3 with 1 die \(\displaystyle{\frac{{{1}}}{{{6}}}}{\left({\frac{{t}}{{i}}}{o}{n}\right)}\)
e) rolling an even number with 1 die \(\displaystyle{\frac{{{3}}}{{{6}}}}={0.50}{\left({d}{e}{c}{i}{m}{a}{l}\right)}\)
f) flipping heads or tails with a coin \(\displaystyle{100}\%{\left({p}{e}{r}{c}{e}{n}{t}\right)}\)
Step 2
Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.
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