Mathematics, 09.03.2021 21:50 murokh
You pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking a 7 and then picking a number less than 5? Simplify your answer and write it as a fraction or whole number.
Answers: 3
![Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ 7]=\frac{1}{10}](/tpl/images/1181/6731/adc9d.png)
![Now,\\As\ we've\ already\ picked\ a\ card[i.e\ 7],\\The\ total\ outcomes\ to\ the\ Random\ Experiment\ A\ are\ 1,2,3,4,5,6,8,9,10.\\Hence,\\Lets\ consider\ picking\ another\ card\ less\ than\ 5:\\Here,\\The\ favorable\ condition\ is\ picking\ a\ card\ less\ than\ 5.\\Hence,\\The\ favorable\ outcomes\ are\ 1,2,3,4.\\No.\ of\ favorable\ elementary\ events=4\\Total\ no.\ of\ elementary\ events=9\\As\ we\ already\ know\ that,\\](/tpl/images/1181/6731/b87f7.png)
![Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ card\ less\ than\ 5]=\frac{4}{9}](/tpl/images/1181/6731/1b5c0.png)
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You pick a card at random. Without putting the first card back, you pick a second card at random. Wh...
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