Refer to the preceding Venn diagram of an inventory of book titles sol

Question

11.jpg Refer to the preceding Venn diagram of an inventory of book titles sold by Marshall Books. Each symbol represents 100 titles in a total inventory of 3,000 distinct book titles. Select the best answer to fill in the blanks for each of the statements below, based on the data shown. If one title is selected at random out of the total inventory, the chance that the title is available in print as either a paperback or hardcover or both is GRAPH_1_PLACEHOLDER . If one title is selected at random out of the total inventory, the chance that the title is available in print in both paperback and hardcover is GRAPH_2_PLACEHOLDER . Data Insights (DI) Butler 2023-24 Click here for Details ]

varad98 · Answer

Question 1)
If one title is selected at random out of the total inventory, the chance that the title is available in print as either a paperback or hardcover or both is
Ans: The diagram consist of 30 "+" signs. Question is asking The probability of selecting title available in print. Therefore it is equal to '1- (non print titles/total titles)= 23/30

Question 2)
If one title is selected at random out of the total inventory, the chance that the title is available in print in both paperback and hardcover is
Ans: Question is asking about the probability of picking up titles which lie in overlapping zone of two circles. Therefore answer is 5/30.

MauroSer · Answer

Question 1:
The probability of selecting a title available in print (either paperback, hardcover, or both) out of the total inventory is:
Probability = 1 - (Number of titles not available in print) / (Total number of titles) = 1 - 7/30 = 23/30

Question 2:
The probability of selecting a title available in both paperback and hardcover out of the total inventory is:
Probability = (Number of titles available in both formats) / (Total number of titles) = 5/30

Gemmie · Answer

1 symbol = 100 titles

3000 titles => total 30 symbols

If one title is selected at random out of the total inventory, the chance that the title is available in print as either a paperback or hardcover or both is 23/30

P (available in print as either a paperback or hardcover or both) + P(neither paperback nor hardcover) = 1

P (neither paperback nor hardcover) = P (symbols not in any circle) =  \frac{7}{30}

=> P (available in print as either a paperback or hardcover or both) =  1 - \frac{7}{30} = \frac{23}{30}

If one title is selected at random out of the total inventory, the chance that the title is available in print in both paperback and hardcover is 5/30

P (both paper back and hardcover) = P (symbols in the overlapping areas) =  \frac{5}{30}

Refer to the preceding Venn diagram of an inventory of book titles sol

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Refer to the preceding Venn diagram of an inventory of book titles sol

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards