(a) P = P(A) × P(B) × P(C) = 0.4 × 0.3 × 0.2 = 0.024

(b) We use the notation `P(barA)` to mean "the probability that A will not occur". So:

`P=P(barA)xxP(barB)xxP(barC)`

`=0.6xx0.7xx0.8`

`=0.336`

(c) `P=P(A\ "only alive") ` `+ P(B\ "only alive") ` `+ P(C\ "only alive")`

`=[P(A) times P(barB) times P(barC)]` `+[P(barA) times P(B) times P(barC)] ` `+ [P(barA) times P(barB) times P(C)]`

`=0.4 times 0.7times0.8` `+0.6times0.3times0.8` `+0.6times0.7times0.2`

`=0.452`

(d) `P=1-` `{P(barA)xxP(barB)xxP(barC) } ` `=1-0.336` `=0.664`