Probability Problem Solving

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.b) What is the probability that the class has at least 3 left-handed students?

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Sol: Sample space = [HHH, HHT, HTH, THH, TTH, THT, HTT, TTT] Total number of ways = 2 × 2 × 2 = 8. Cases = 7 P (A) = 7/8 OR P (of getting at least one head) = 1 – P (no head)⇒ 1 – (1/8) = 7/8Example 2: Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards. Numbered Cards = (2, 3, 4, 5, 6, 7, 8, 9, 10) 9 from each suit 4 × 9 = 36 P (E) = 36/52 = 9/13Example 3: There are 5 green 7 red balls. P (getting a sum of 22 or more) = 15/1296 = 5/432 = 36 Since the number on a die should be multiple of the other, the possibilities are (1, 1) (2, 2) (3, 3) ------ (6, 6) --- 6 ways (2, 1) (1, 2) (1, 4) (4, 1) (1, 3) (3, 1) (1, 5) (5, 1) (6, 1) (1, 6) --- 10 ways (2, 4) (4, 2) (2, 6) (6, 2) (3, 6) (6, 3) -- 6 ways Favorable cases are = 6 10 6 = 22.

Favorable cases = (1, 6) (6, 1) (2, 5) (5, 2) (3, 4) (4, 3) --- 6 ways. Sol: (i) honor cards = (A, J, Q, K) 4 cards from each suits = 4 × 4 = 16 P (honor card) = 16/52 = 4/13 (ii) face cards = (J, Q, K) 3 cards from each suit = 3 × 4 = 12 Cards. So there are total 7 cases out of which (Sat, Sun) (Sun, Mon) are two favorable cases. of ways in which two particular people sit together is 13! The probability of two particular persons sitting together 13! 1 of the bags is selected at random and a ball is drawn from it.

P (A) = 6/36 = 1/6Example 5: 1 card is drawn at random from the pack of 52 cards. P (face Card) = 12/52 = 3/13Example 7: Three dice are rolled together. So, P (53 Sundays) = 2 / 7 Now, P(52 Sundays) P(53 Sundays) = 1 So, P (52 Sundays) = 1 - P(53 Sundays) = 1 – (2/7) = (5/7)Example 14: Fifteen people sit around a circular table. If the ball drawn is red, find the probability that it is drawn from the third bag.

Related Topics: Introduction To Probability Probability Tree Diagrams Theoretical vs.

Experimental Probability In these lessons, we will learn how to solve some probability word problems.