Willis Herrera
05/14/2024 · Primary School

7 A drawer contains 8 brown socks and 4 blue socks. Llam takes two socks at random from the drawer, one after the other. (i) Show that the probability that Liam takes one brown sock and one blue sock is \( \frac{16}{33} \). (ii) The discrete random variable \( B \) is the number of brown socks taken. Draw up a probability distribution table for \( B \).

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(i) The probability that Liam takes one brown sock and one blue sock is \( \frac{16}{33} \). (ii) The probability distribution table for \( B \) is: | \( B \) | Probability \( P(B) \) | |---------|-------------------------| | 0 | \( \frac{1}{11} \) | | 1 | \( \frac{16}{33} \) | | 2 | \( \frac{14}{33} \) |

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