Name that Event
Kelley choosing a month and tossing a coin
What is a Independent Event? Explanation: Tossing a coin is not affected by choosing a month so it makes it a Independent Event.
Please define what a Dependent Event is?
What is two events are dependent if the outcome or occurrence of the first affects the outcome of the second so that the probability is changed.
Define what an Independent Event is?
What is two events, A and B are independent if the fact that A occurs does not affect the probability.
You flip a coin and roll a six-sided die. What is the probability of flipping a head and rolling a 3?
What is 1/12? Explanation: Heads 3 on die Event A x Event B 1/2 x 1/6 = 1/12
A spinner is divided into 6 equal sections: red, blue, orange, green, yellow, and purple. What is the probability of spinning a green or a yellow?
What is 1/3?
Xavier drawing an 8 from a deck of cards with out replacement. Him drawing another 8 from the same deck.
What is a Dependent Event Explanation: Dependent Event because the 8 was not replaced thus affecting the probability.
Give an example of a Dependent Event.
What is 1) If we wake up late, we will be late to office. 2) If it rains, we use an umbrella.
You have a deck of 8 red cards and 7 blue cards. What is the probability of selecting a red card, not replacing it, and then picking another red card?
What is 28/105 Explanation: P(red 1st draw) x P(red 2nd draw ) 8/15 x 7/14 = 56/210 Reduces to 28/105
Using a six-sided die, what is the probability of Amari rolling an odd number or a 4?
What is 2/3?
Aaron getting tails on a penny being tossed and rolling a 6 on a number cube?
What is a Independent Event Explanation: The two events are not affecting on another. The coin toss and 6 on a number cube do not affect one another.
True of false if you see a problem and it says it is without replacement is it a dependent event why?
Yes, it is a dependent event because with out replacement affects the probability.
A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and is NOT replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue?
What is 5/44 Explanation: Because the first paper clip is NOT replaced, the sample space of the second event is changed. The sample space of the first event is 12 paperclips, but the sample space of the second event is now 11 paperclips. The events are dependent. P(red then blue) = P(red) • P(blue) = 3/12 • 5/11 = 15/132 = 5/44.
Using a 12-sided die, what is the probability of rolling an even number or an odd number?
What is 1?
Aisha getting 2 red gumballs out of a gumball machine?
What is a Dependent Event? The gumballs are not replaced so it is a Dependent Event.
In a pack of 52 cards, 4 of the cards are Kings. Two cards are randomly picked from the pack. Find the probability of picking: a) a ten and a jack without replacement
What is 4/663 P(10) x P(jack) 4/52 x 4/51 = 16/2652 reduces to 4/663
What is the probability of a quarter being heads tossed 7 times?
What is 1/128 1/2*1/2*1/2*1/2*1/2*1/2*1/2 =1/128
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. Find the probability of a white draw than a blue marble.
What is 1/15 Explanation: White Marble 1/10 Blue Marble choose without replacement 6/9 P(W) x P(B) 1/10 x 6/9 = 6/90 reduces to 1/15
Is it mutually exclusive? Selecting the letter E and Vowels from the word teacher?
What is not a mutual exclusive event. Explanation: The letter E is both a vowel and also a E.
The Westlake football team winning two games in a row.
What is a Independent Event. The outcome of first game doesn't affect the next game.
Ms. Mitchell has 4 brown, 5 violet, and 3 pink sweaters. If he selects 2 sweaters one after the other without replacement, then what is the probability that both are violet in color?
What is 5/33 P(violet) x p(violet 2nd draw) 5/14 x 4/11 = 20/132 divide by 4 and get 5/33
A box contains 6 red marbles, 4 blue marbles, and 8 yellow marbles. Find the probability of yellow and red if a marble is selected and replaced, and then a second one drawn.
What is 4/27 Red x yellow 8/18 x 6/18 = 48/324 reduces to 4/27
A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. Find the probability of a red, red and blue.
What is 1/20 Explanation: Red 3/10 Red 2/9 Blue 6/8 P(Red) x P(Red) x P(Blue) 3/10 x 2/9 x 6/8 = 36/720 reduces to 1/20
Which of the following are not mutually exclusive events? a. drawing a 3 and a diamond from a standard deck of cards b. rolling a 3 or 5 on a single roll of a number cube. c. tossing a coin and rolling a number cube.
What is A. Explanation: Mutually Exclusive is events that can't happen at the same time.