Certain, An event with a probability of 1., Impossible, An event with a probability of 0., Event, The required outcome, Equally likely outcomes, Outcomes with the same chance in happening., The is the probability of getting a 6 on a fair dice, 1/6, The probability of getting a king in a deck of cards, 4/52, The sample space for tossing 2 coins, {HH, HT, TH, TT}, Relative frequency , Number of successful trials / Total number of trials, Expected frequency , Probability x number of trials, A fair dice is thrown 60 times. How many fives would you expect to get, 1/6 x 60 = 10, I toss a coin 100 times and get 47 tails. What is the relative frequency of heads?, 53/100, The addition rule for mutually exclusive events., P(A or B) = P(A) + P(B), The addition rule for non mutually exclusive events., P(A or B) = P(A) + P(B) - P(A and B), An unbiased dice is thrown. What is the probability of getting a 3 or an even number?, 1/6 + 3/6 = 4/6, An unbiased dice is thrown. What is the probability of getting a 4 or an even number?, 1/6 + 3/6 - 1/6 = 3/6, A card is drawn from a deck of cards. What is the probability of choosing a red queen or diamond?, 2/52 + 13/52 - 1/52 = 14/52, The total number of students surveyed was 50. Find x., 12, Independent events, The outcome of one trial does not impact the outcome of the second., Multiplication rule, P(A and B) = P(A) x P(B), I toss a coin and roll a dice. What is the probability of getting a tail and an even number? , 1/2 x 3/6 = 3/12 = 1/4, Two dice are thrown. What is the probability of getting two 5s?, 1/6 x 1/6 = 1/36, A dice is thrown. What is the probability that the first 2 appears on the 3rd throw?, 5/6 x 5/6 x 1/6 = 25/216, A coin is tossed and a card is taken from a deck of cards. What is the probability of getting a head and a diamond?, 1/2 x 13/52 = 13/102.
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