Azebra has four possible locations to cross the zambezi river; call them a, b, c, and d, arranged from north to south. a crocodile can wait (undetected) at one of these locations. if the zebra and the crocodile choose the same location, the payoff to the crocodile (that is, the chance it will catch the zebra) is 1. the payoff to the crocodile is 1/2 if they choose adjacent locations, and 0 in the remaining cases, when the locations chosen are distinct and nonadjacent.
(a) write the payoff matrix for this game.
(b) can you reduce this game to a 2 by 2 game?
(c) find the value of the game (to the crocodile) and optimal strategies for both.

step- i d k and i d c : )

you: : 0

bye

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation: