A special deck of 16 card has 4 that are blue, 4 yellow, 4 green and 4 red. The
ID: 3379160 • Letter: A
Question
A special deck of 16 card has 4 that are blue, 4 yellow, 4 green and 4 red. The four cards of each color are numbered from one to four. A single is drawn at random. Find the following probabilities.
a. The probability that the card drawn is a two or a four.
b. The probability that the card is a two or a four, a given that is not a one.
c. The probability that the card is a two or four, given that it is either a two or a three.
d The probability that the card is a two or a four, given that it is red or green.
A random experiment gave rise to the two way contingency table shown. Use it to compute the probabilities indicated.
R
S
A
0.12
0.18
B
0.28
0.42
b. Based on the answer to (a). determine whether or not the events A and R are independent.
c. Based on the answer to (b). determine whether or not P(A|R) can be predicted without any computation. If so, make the prediction. In any case, compute P(A|R) using the rule for conditional probability.
A random experiment gave rise to the two way contingency table shown. Use it to compute the probabilities
R
S
A
0.13
0.07
B
0.61
0.19
b. Based on the answer to (a). determine whether or not the events A and R are independent.
c. Based on the answer to (b). determine whether or not P(A|R) can be predicted without any computation. If so, make the prediction. In any case, compute P(A|R) using the rule for conditional probability.
R
S
A
0.12
0.18
B
0.28
0.42
Explanation / Answer
A special deck of 16 card has 4 that are blue, 4 yellow, 4 green and 4 red. The
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.