Answer the table 3.

B. Probability Laws The two laws of probability are the Product Rule and the Sum Rule. The mer states that the probability of independent events occurring together is equal to the product of their individual probabilities such that the Probability ofp which is success and @ which is failure is P(P, and Q) = P(P) x P(Q) while the sum Rule states that the probability of mutually exclusive events occurring together is equal to the sum of their individual probabilities. Thus, P(P or to = P (P) + P(Q) where P(P) is the probability of P, while P(Q) is the probability of Q. With the class divided into pairs, have one student throw two coins marked Coin No. I and Coin NO. I1 50 times each, while the other records the results in Table 3. Table 3. Tally Sheet for Two-Coin Toss Combinations : Tally Total : Deviation from Expected Coin I Coin II Head Head 17 : 25 : 8%% Head Tail : 32 : 25 Tail Head 31 : 25 : Tail Tail : 25 : 5% rota 10 0 10 0 Find the probability of each combination. Get the total of the entire class and complete Table 4. This experiment demonstrate the Product Rule of Probability. Apply it in the two-coin toss: Coin I . . 1/2 T + 1/2 H Coin II 1/2 T + 1/2 H 1/4 TT + 1/4 TH + 1/4 HT + 1/4 HH Where the probability of T is multiplied by the probability of another T from another coin in order to get 1/4 TT