Description
3.Consider the sample space of the following experiment:We roll two dice and each time we record the sum of the numbers we got on both of them (for example, if we get 5 on one die and 3 on the other, we record 8)How many elements are in the sample space?
4.Describe the sample space for the following experiment:Two people are asked if they smoke regularly, and the number of people answering affirmatively is recorded. Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma. Do not include spaces.
5.How many elements are in the following sample space?A coin is tossed three times and the number of T's (tails) is recorded.
6.How many elements are in the following sample space?A coin is tossed three times and the sequence of H's (heads) and T's (tails) is recorded.
7.Describe the sample space for the following experiment:
A glass jar contains 1 red, 3 green, and 2 blue marbles. A single marble is chosen at random from the jar and its color is recorded.Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma. Do not include spaces.
8.A glass jar contains 6 red, 5 green, 10 blue and 3 yellow marbles. If a single marble is chosen at random from the jar, what is the probability of choosing a red marble? Give your answer as a decimal.
9. There are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble will be picked? Write your answer as a decimal.
10.Choose a number at random from 1 to 5. What is the probability that the number chosen is even? Give your answer as a decimal
11.Which of the following experiments does NOT have equally likely outcomes?
Choose a letter at random from the word MATH
Choose a number at random from 1 to 7.
Toss a fair coin.
Roll a fair die
Choose a letter at random from the word SCHOOL
13.There are 10 girls and 40 boys in the tennis club. One of these is chosen at random to enter a competition. What is the probability that a girl is chosen?
Write your answer as a deci
Explanation & Answer
3. The sum will can be 1+1 up to 6+6 => 2,3,4,5,6,7,8,9,10,11,12 . This is 11 elements in the sample space.
4. {(Yes,Yes),(Yes,No),(No,Yes),(No,No)}
5. Possible outcomes: H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-TYou number of tails that can be rolled are as follows 0, 1, 2, 3
13. Total # students = 10 girls + 40 boys = 50Probability girl chosen = 10/50=1/5 = 0.2
10. Choose a number at random from 1 to 5. What is the probability that the number chosen is even? Give your answer as a d...
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