A certain university has 20 vehicles available for use by faculty and staff. Four of these are vans and 16 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 20 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E \cap F).
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So the probability of the first vehicle being a van is 4/20. Show more…
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A certain university has 10 vehicles available for use by faculty and staff. Six of these are vans and 4 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 10. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is the value of P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is the value of P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E ∩ F).
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A certain university has 10 vehicles available for use by faculty and staff. Six of these are vans and four are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 10 . a. Let $E$ denote the event that the first vehicle assigned is a van. What is $P(E)$ ? b. Let $F$ denote the probability that the second vehicle assigned is a van. What is $P(F \mid E)$ ? c. Use the results of Parts (a) and (b) to calculate $P(E$ and $F)$ (Hint: Use the definition of $P(F \mid E) .$ )
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