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- Homework Statement
- Pack A consists of ##10## cards numbered ##0,0,1,1,1,1,1,3,3,3##. Pack B consists of ##6## cards numbered ##0,0,2,2,2,2##. One card is chosen at random from each pack. The random variable ##X##is defined as the sum on the two cards.

Show that ##P(X=2)=\dfrac{2}{15}##

- Relevant Equations
- Probability

My approach;

##P(X=2)=\dfrac{8}{60}=\dfrac{4}{30}=\dfrac{2}{15}##

Mark scheme solution;

just sharing...cheers! Any insight is welcome.

0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 3 | 3 | |

0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 3 | 3 |

0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 3 | 3 |

2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | 5 |

2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | 5 |

2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | 5 |

2 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 5 | 5 | 5 |

##P(X=2)=\dfrac{8}{60}=\dfrac{4}{30}=\dfrac{2}{15}##

Mark scheme solution;

just sharing...cheers! Any insight is welcome.