Question

QUESTI 10 points Save Answer Provide an appropriate response. Find the probability of answering the two multiple choice questions correctly if random guesses are made. Assume the questions each have five choices for the answer. Only one of the choices is correct. 0.004 0.4 0.04 0.02 QUESTI 10 points Save Answer Provide an appropriate response. You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places. 0.994 O 0.250 0.006 0.500 QUESTI 10 points Save Answer Consider three independent events, A, B, and C, such that P(A) = 0.8, P(B) = 0.7, and P(C) = 0.5. What is P(A and B and C)? 0.28 0.56 0.35 0.40

Answer 1

* from the given data Total number of questions ->2. Each question has s. choices each, and only one choice is correct. Probability of selecting correct answer from 1st questich is my t r i no.cf wanted outcomes C u total no. of possible cutanes Probability of selecting .corect answcy from and question is 1/2. so probability of event > PC2- correct answers) Las Croche t s -0.04 PER200. elem option-3 * we have 4-suits (H, C, D, 5). each suit has 13 cards. CA123,4,5,6,7,8,9,10,J, Qk) Probability of getting a first card is a two is → (is because there are total ų two number cards in 52 cards) probability of getting a second card is a ten is 24 C. Because there are total Ý ten number cards in 52 cards. and with aut replacement) 010) 31

SO The probability of is a ten is. first card is a two and second cod P(two and ten") = (1/2) (45) pro od 16 2652 the blanke = 0.006033 cookiñ 0.006. option -0.9 * given events are independent PCA) = 0.8 PCB) = 0.7 PCC =05.0 PCaand B and c) = P(ANBACIS) PCA) - PCB).P(C) => 0.88 0.7 X0-5 3 0.28 option - 0