Biostats Quiz Chapter 5 Probability what is more likelyi ip a coin five times an

Question

Biostats Quiz Chapter 5 Probability what is more likelyi ip a coin five times and get heads each time. On the next flip, a. Heads b. Taits Neither, both are equally kely If you role a six sided die once, what is the probability of rolling a a, S, or ? 1/6 b.1/4 c1/3 1/2e.o 3 If you role two six sided dice, what is the probability of getting two ones ("snake eyes")? 1/36 b.1/12 c.1/6 d. 1/3 e.1/2 4. If you role these two dice, what is the probability that the two scores will sum to 102 a. 1/36 b. 1/13 c. 1/6 d. 1/3 (e none of these 5. If you role these two dice, what is the probability that at least one will be six? .a. 1/36 b 11/36 c. 1/4 d/1/3 e. none of these 6. Yo u draw two cards (without replacement) from a deck of 52 cards. How likely is it that botha aces? The deck contains four aces. (Asterisk means multiply in the answer choices) a. 2/52 b. 16/52 c.(4 4/(52'52) d (4 3)/(52*51) e. none of these Which of the following can be found using a binomial distribution? a. The probability that 3 out of 8 tosses of a coin will result in heads b. The probability that all 5 of your randomly chosen group members will pass the midt The probability of rolling at least two 3s and two 4s out of twelve rolls of a six-sided d d. Both a and b are correct. e. a, b, and c are correct The probability that you will win a certain game is 0.3. You play the game 20 times. Wha mean of this binomial distribution? a. 14 b. 10 (c6 d.3 e. none of these

Explanation / Answer

(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)

1. The likelyhood of each toss is independent of the other. So the answer is:

c. neither, both are equally likely.

2. The possible options for a die are 1,2,3,4,5,6.

Out of these 3 options are 4,5,6.

=> Probability = 3/6 = 1/2 which is given in d.

3. There is only one way the two dice can show two 1s.

Altogether there are 6*6 = 36 options.

=> Probability = 1/36 which is given in a.

4. A sum of 10 can come in the following ways

5+5, 6+4, 4+6.

There are 3 chances out of 36.

The probability is 3/36 = 1/12 which is given in option e. none of these.

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