8. A goat is tethered on a 10-ft leash. The end of the leash is tied in one corn

Question

8. A goat is tethered on a 10-ft leash. The end of the leash is tied in one corner of a rectangular pen that measures 12 ft by 20 ft. The wind blows a piece of paper into the pen. Find the probability that the paper lands in an area that the goat will be able to reach. 9. A number line shows the numbers 1 to 100 (inclusive). (a) If a fly lands at random on one of the numbers, what is the probability that the number he lands on is divisible by 5? (b) If a mosquito lands on one of numbers and you are given the fact that she an even number, what is the probability that the number that she landed on is prime? 10. One die is rolled. What are the odds that the number shown is composite? 11. Two dice are rolled and the product is found. What is the expected value of a roll?

Explanation / Answer

ANSWER 10 :

Sample Space of rolling one die={1,2,3,4,5,6}

composite Numbers={4,6}

Probability of getting composite number=favourable outcomes/total outcomes

=2/6=1/3=0.33

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