### Home > INT2 > Chapter 9 > Lesson 9.4.1 > Problem9-145

9-145. Of the $63$ drinks at Joe’s Java and Juice Hut, $42$ contain coffee and $21$ contain dairy products. If Alexei randomly chooses a drink, what is the probability of getting a drink with both coffee and a dairy product? What is the probability of getting neither coffee nor a dairy product? Assume that choosing a coffee drink is independent of choosing a dairy-product drink. See if you can answer these questions without first making a two-way table.

If events A and B are independent, the P(A and B) = P(A) · P(B).

$\text{If P(coffee) = } \frac{42}{63} \text{, what is P(no coffee)? }$

$\text{If P(dairy) = } \frac{ 21}{63} \text{, what is P(no dairy)?}$
{"ft_lang_label":"__label__en","ft_lang_prob":0.91041595,"math_prob":0.9745123,"size":500,"snap":"2021-31-2021-39","text_gpt3_token_len":107,"char_repetition_ratio":0.15120968,"word_repetition_ratio":0.023529412,"special_character_ratio":0.216,"punctuation_ratio":0.0882353,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.97274184,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,null,null,null,null,3,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-09-26T13:25:25Z\",\"WARC-Record-ID\":\"<urn:uuid:557b2105-4a25-4ade-a885-9d46ca5dafea>\",\"Content-Length\":\"36976\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a02c1d60-73bc-41bf-a294-7d0bd2583b64>\",\"WARC-Concurrent-To\":\"<urn:uuid:723c8187-20e7-411e-b524-aac97993b171>\",\"WARC-IP-Address\":\"104.26.7.16\",\"WARC-Target-URI\":\"https://homework.cpm.org/category/CCI_CT/textbook/int2/chapter/9/lesson/9.4.1/problem/9-145\",\"WARC-Payload-Digest\":\"sha1:DRT3M2EX6GFP4CRUHCU446NJAZTDWMQB\",\"WARC-Block-Digest\":\"sha1:J3M34GE4IB4QYJ74MUH2N5GOID5IT3MY\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-39/CC-MAIN-2021-39_segments_1631780057861.0_warc_CC-MAIN-20210926114012-20210926144012-00643.warc.gz\"}"}