41) Box A contains exactly four cards, numbered 3,5,6, and 9.Box B contains exac

Question

41) Box A contains exactly four cards, numbered 3,5,6, and 9.Box B contains exactly three cards, numbered 1,4,and 7. One card isselected at random from Box B. What is the probability that thesum of the numbers on the two selected cards iseven? a. 1/4 b. 1/3 c. 5/12 d. 1/2 e. 7/12 42) Gill is now 80 miles ahead of Larry. Gill is traveling ata constant rate. Larry is traveling in the same direction, at arate 5 miles per hour faster than Gill. In how many hours willLarry catch up to Gill? a. 16 b. 15 c. 12 d. 10 e. Larry cannot catch up to Gill **PLEASEE HELPP!** 41) Box A contains exactly four cards, numbered 3,5,6, and 9.Box B contains exactly three cards, numbered 1,4,and 7. One card isselected at random from Box B. What is the probability that thesum of the numbers on the two selected cards iseven? a. 1/4 b. 1/3 c. 5/12 d. 1/2 e. 7/12 42) Gill is now 80 miles ahead of Larry. Gill is traveling ata constant rate. Larry is traveling in the same direction, at arate 5 miles per hour faster than Gill. In how many hours willLarry catch up to Gill? a. 16 b. 15 c. 12 d. 10 e. Larry cannot catch up to Gill **PLEASEE HELPP!**

Explanation / Answer

first problem: i assume you are selecting one card at random from each box. there are 12 outcomes (all equally likely): 31,34,37,51,54,57,61,64,67,91,94,97 So 7 out of 12 have even sum. answer = 7/12 second problem: gill's speed = x larry's speed = x+5 let's say larry catches up in time t. 80+xt = (x+5)t 80=5t t=16 hrs hope this helps!

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