# Among a student group 49% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the latter use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.

Among a student group 49% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the latter use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.
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Step 1
Probability of students using Google chrome $=0.49$
Probability of students using other browsers $=0.51$
Step 2
Probability that there is exactly two students using google chrome in a sample of 7 is given by
$P=\left({c}_{2}^{7}\right).\cdot {\left(0.49\right)}^{2}{\left(0.51\right)}^{7}$
$21\cdot 0.2401\cdot 0.034503$
$0.173965$
Thus, $p=0.173965$