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The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. Find each probability. a. Find the probabilily of selecting an O . b. Find the probability of not selecting an 0 . a. The probability of selecting an O is (Type an integer or a simplified fraction.)

Ask by Vaughn Wagner. in the United States
Mar 17,2025

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The probability of selecting an O is \( \frac{2}{25} \).

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The Deep Dive

Did you know that Scrabble was invented in 1938 by Alfred Butts? He initially called it "Lexiko," but it was later renamed. The game didn’t take off until it was rebranded and produced in the 1940s, becoming a massive hit in the post-war era, leading to countless family game nights! In Scrabble, there are 8 tiles representing the letter 'O,' translating to a probability of 8 out of 100 tiles being an 'O.' That means the probability can be simplified to 2 out of 25 (2/25) when you reduce it. Conversely, since there are 92 other tiles, the chance of not selecting an 'O' is 92 out of 100, or 23 out of 25 (23/25) when simplified. Happy playing!

Related Questions

1. On a single toss of one die, find the probability of obtaining a) The number 4 b) an odd number c) an even number d) a number less than 4 e) a number greater than 4 f) an odd or an even number 2. In a junior school class of 28 pupils, 7 are in both a sports team and the school band. There are 16 pupils involved in sports teams and 10 in the school band. Find the probability that a pupil chosen at random. a) is only in the school band b) is in either a sports team or the school band c) is in neither a sports team nor the school band 3. An integer is selected randomly from a set of integers \( \{1,2,3,4,5,6,7,8,9,10,11,12\} \). Find the probability that the integer is a) an even number or is divisible by 3 b) an even number and is not divisible by 3 c) not an even number and is not divisibleby 3 . 4. For the sample space \( S \), it is given that \[ \begin{array}{c} P(A)=0.5 \\ P(A \cup B)=0.6 \\ P(A \cap B)=0.2 \end{array} \] Find: a) \( P(B) \) b) \( P\left(A^{\prime} \cap B\right) \) c) \( P\left(A \cap B^{\prime}\right) \) d) \( P\left(A^{\prime} \cap B^{\prime}\right) \) 5. \( \quad C \) and \( D \) are two events where \( P(C)=0.1, P(D)=0.2 \) and \( P(C \cup D)=0.3 \). a) Determine whether \( C \) and \( D \) are two mutually exclusive events. b) Find \( P\left(C^{\prime}\right) \) and \( P\left(C^{\prime} \cap D^{\prime}\right) \) 6. The events \( A, B, C \) and \( D \) are mutually exclusive with \( P(A)=P(B)=0.3 \) and \( P(C)= \) \( P(D)=0.1 \). If \( E \) and \( F \) are events defined by \( E=A \cup D \) and \( F=B \cup C \), find a) \( P(E \cup F) \) b) \( P(E \cap F) \)
Probability Malaysia Mar 18, 2025

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