Ted has a cat carrier which will hold three cats. Unfortunat. Muffy. Nero. Oprah

Question

Ted has a cat carrier which will hold three cats. Unfortunat. Muffy. Nero. Oprah. Penny, and Quade. Make an organized list to show all the wavs Ted can chose three at random to put in the cat carrier. How many of the ways in part (a) contain Oprah? How many of the ways in part (b) contain both Muffy and Nero' Based on your answers to parts (a) and (b), what is the probability that Onrah will end up in the cat carrier? Based on your answers to parts (a) and (c), what is the probability that Muffy and Nero will end up in the cat carrier?

Explanation / Answer

TOTAL CATS = 5

LET SHOW CAT BY M,N,O,P,Q

SPACE FOR CAT = 3

A) TOTAL WAYS THIS CAN BE DONE = 5C3 = 5!/(3!*2!) = 10 WAYS

SO IT WILL BE(M,N,O),(M,O,P),(M,P,Q),(M,Q,N),(N,O,P),(N,P,Q),(O,Q.M),(P,M,N),(P,O,Q),(O,Q,N)

B)TOTAL WE HAVE 10 WAYS

OPRAH IS THERE IN 6

C)BOTH M AND N ARE IN 3

D) PROBABILITY THAT OPRAH WILL BE THERE = 6/10 = 0.6

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