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Probability Question please help?
A. A 10-question multiple choice test has 4 possible answers for each question. A student selects at least 6 correct answers. A) 0.118 b) 0.989 c) 0.995 d) 0.020 B. Find the probability the next card hands from a 52-card deck. In poker, Aces are either high or low. In poker, a straight flush (5 ina row in a single color, but not a royal flush) a) 1.2 x 10 *- 5 b) 9.23 x 10 *- 6 c) 1.39 x 10 *- 5 d) 2.31 x 10 *- 6? Please help me like you have … thanks to this soo much!
Because there are only two results, the selection of a response (correct or incorrect), you have the binomial distribution, which does use the probability of k successes in N trials as P (k) = C (n, k) xp ^ kx (1 – p) ^ (n – k), where C (N, K) is the binomial coefficient N ! / [K! x (N -] K) You have here p = 0.25 (only one answer from the four is correct) and N = 10 Since the problem will likely correct by at least 6, you must use multiple values for k, then take their sum, as shown below. This is because at least 6, right means that you could 6 or 7 or 8 or 9 or 10 right. You must include all of these possibilities. P (at least 6) = P (6) + P (7) + P (8 )…+ P (10) I would not let the math. Note: The probability is very, very small result. 2) Likelihood of the total number of positive results divided by the total number of possible outcomes. There are four colors and nine 5-card straight (not Royal Flush) A 2 3 4 5 2 3 4 5 6 … 9 10 JQK This means that there are 4 * 9 = 36 possibilities of drawing a straight flush. The total number of hands could be drawn is N! / (K! * (nk)!), Where n = 52 and k = 5 This is possible draws 2,598,960th This means that the probability of drawing a straight flush 36/2598960 is.
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