Find P(B∩E) directly from the table.

A | B | C | Total | |

D | 0.13 | 0.02 | 0.05 | 0.20 |

E | 0.37 | 0.28 | 0.15 | 0.80 |

Total | 0.50 | 0.30 | 0.20 | 1.00 |

**Solution:-**

If F and G are two events in sample space S, than the union of F and G, denoted by FUG, is define to be FUG = {e ϵS | e ϵ F or e ϵ G}, and the intersection of F and G, denoted by F∩G, is defined to be F∩G = {e ϵS | e ϵ F or e ϵ G}. Furthermore, FUG is also define to be the event F or G, while F∩G is also define to be the event F and G.

The event B∩E is define to be the event B and E.

The value of P(B∩E) can be found where the column containing B and the row containing E intersect.

Find P(B∩E) directly from the table.

P(B∩E) = 0.28