How to find the probability of an outcome

Practice Questions

SSAT Upper Level Quantitative (Math) › How to find the probability of an outcome

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1

Presented with a deck of fifty-two cards (no jokers), what is the probability of drawing either a face card or a spade?

2

In a jar, there are 3 blue marbles, 5 red marbles, 8 green marbles. If Bob reaches his hand in a jar, and grabs one marble, what is the likelihood he will pick up a blue marble?

3

Set A:

Set B:

One letter is picked from Set A and Set B. What is the probability of picking two consonants?

4

Jeff collects basketball cards of players on his three favorite teams. He decides to put 5 cards from each team in a paper bag and then to draw out 3 cards at random. What are the odds of him getting one player from each team?

5

A standard deck of 53 cards (including the joker) is altered by adding the sevens from another deck. What are the odds against a randomly drawn card being a heart?

6

A fair coin is tossed nine times. Each toss comes up heads. What is the probability that the coin will come up heads a tenth time?

7

Set A:

Set B:

One letter is drawn from Set A, and one from Set B. What is the probability of drawing a matching pair of letters?

8

A standard deck of 52 cards is altered by adding the jacks from another deck. What are the odds against a randomly drawn card being a club?

9

Monopoly

Above is a part of the board for a popular board game. Terry is moving clockwise on the board; his playing piece is represented by the black triangle. He is about to roll a pair of fair six-sided dice. He collects $10,000 every time he lands on or passes the space marked "Onward!"

What are the odds in favor of, or against, him collecting $10,000 on this turn?

10

John participates in a charity fundraiser in which he pays $1 to draw a card from a standard 52-card deck. If he draws the ace of spades, he wins $25; if he draws any other ace, he wins $5; if he draws any other card, he does not win. To the nearest cent, what is the expected value of the game to John?

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