If A and B are two disjoint events and \( \mathrm{P}(\mathrm{A} \cap \bar{B})=\frac{2}{5} \) and \( \mathrm{P}(\mathrm{A})=\frac{1}{5} \), then \( \mathrm{P}(\mathrm{B}) \) is equal to: \( 1 / 5 \) \( 3 / 5 \) \( 2 / 5 \) None of the choices

In a group of people on holiday, it is established that there are: - 10 males under the age of 21 - 8 females under the age of 21 - 6 males aged between 21 and 30 - 5 females aged between 21 and 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{ll}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)

In how many distinct ways can the letters of the word BELLE be arranged? 0 of 1

The events that Aaron's team and Betty's team win their next games are \[ \text { of } P(A) \text { and } P(B) \text {. } \] dependent equal product

Question 10, 11.2.47 At a benefit concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

A club with fifteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?