Consider 3 events as illustrated in the following Venn diagram. A1 A2 0.02 0.05 0.03 0.20 0.06 0.09 0.30 A3 0.25 Suppose it is known that A3 did not happen. Conditional on this knowledge, what is the updated chance A1 happens? P(A1 | A3°) Express your answer as a proportion, using 2 decimal places.

Submit your answer as an exact fraction or a decimal rounded to the hundredths place. Cupcakes are being randomly passed out to every student in the class. The assortment of cupcakes is described in the table below. What is the probability of receiving a cupcake that is not vanilla flavored? Cupcake flavor Number of cupcakes Vanilla 7 Mint chocolate 3 Red velvet 4 Carrot Cake 6

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Adrian plays on the Varsity Boys basketball team. He successfully scores approximately 38% of his attempted shots. In the first half of a given basketball game, Adrian takes 6 attempted shots on net. What kind of probability distribution does this situation represent? A. Hypergeometric B. Binomial C. uniform D. Both Binomial and Hypergeometric E. none of these

K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

Σ B > 口 Question 1 In brand recognition study, 913 consumers knew of Gap, and 33 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Gap. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. %3D = qojd Submit Question MacBook Air DD F6 08 F3 F5 F4 % $ 8. # 9 2 R M G H S > command