probability

THE PLAYER CHOSE 20 OUT OF 70 NUMBERS IN A GAME OF CHANCE. ...WHEN THE SHOW BEGIN,THE BANKER WILL THEN RAFFLE OR DO A DRAW WHERE IN THE BANKER PICKS AS WELL 20 OUT OF 70 NUMBERS. .....NOW HERES THE TRICK, FOR YOU TO BEAT THE BANKER .YOUR CHOSEN 20 NUMBERS SHOULD NOT MATCH ANY OF THE BANKER...

Of the 20 boats at the Mariana, 10 were from Massachusetts. What is the probability that a randomly selected boat will be from Massachusetts? P(Boat from Massachusetts) = Number of Massachusetts boats / Total Boats at the Mariana P(Boat from Massachusetts) = 10/20 Simplifying this fraction, we...

A box contains 6 yellow, 3 red, 5 green, and 7 blue colored pencils. A pencil is chosen at random, it is not replaced, then another is chosen. What is the probability of choosing a red followed by a green? We have 6 + 3 + 5 + 7 = 21 total pencils P(Red on the first draw) = Total Red / Total...

A fake coin has heads on both sides, if the coin tossed once, what is the probability of getting a head? Since you always flip a head, we have: P(Head) = 1 or 100%

A group of people were asked if they had run a red light in the last year. 497 responded "yes", and 223 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. P(Run Red Light) = yes answers / total answers P(Run Red Light) = 497 /...

Sarah rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 6. Factors of 6 are {6, 12} P(Roll a 6) = 5/36 P(Roll a 12) = 1/36 P(Roll a 6 or Roll a 12) = P(Roll a 6) + P(Roll a 12) P(Roll a 6 or Roll a 12) = 5/36 + 1/36 P(Roll a 6 or...

assume your math class has 10 sophomores and 7 juniors. there are 3 female sophomores and 4 male juniors. what is the probability of randomly selecting a student who is a female or a junior Sophomores: 10 sophomores: 3 female male = 10 - 3 = 7 Juniors: 7 juniors 4 males female = 7 - 4 = 3...

A computer randomly generates a whole number from 1 to 25. Find the probability that the computer generates a multiple of 5 Multiples of 5: {1, 5, 25} So we have the probability of a random number multiple of 5 is 3/25

A 6-sided die is rolled once. What is the probability of rolling a number less than 4? Using our one dice calculator, we get: P(N < 4) = 1/2

A die and a coin are tossed. What is the probability of getting a 6 and a tail? Roll a 6: P(6) = 1/6 Flip a tail: P(T) = 1/2 Probability of getting a 6 and a tail: Since both events are independent, we have: P(6 and T) = P(6) * P(T) P(6 and T) = 1/6 * 1/2 P(6 and T) = 1/12

A spinner has 3 equal sections labelled A, B, C. A bag contains 3 marbles: 1 grey, 1 black, and 1 white. The pointer is spun and a marble is picked at random. a) Use a tree diagram to list the possible outcomes. A, Grey A, Black A, White B, Grey B, Black B, White C, Grey C, Black C, White...

A bowler knocks down at least 6 pins 70 percent of the time. Out of 200 rolls, how many times can you predict the bowler will knock down at least 6 pins? Expected Value of (knocking down at least 6 pins) = number of rolls * probability of knocking down at least 6 pins Expected Value of...

Suppose that 18% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Since each person is independent of the others, we have: P(Person 1 has a dog and person 2 have a dog) = P(person 1 has a dog) * P(person 2 has a dog) P(Person 1 has a dog...

If you toss a fair coin 6 times, what is the probability of getting all tails? We type in our search engine TTTTTT and we get: P(TTTTTT) = 1/64 or 0.015625

Given P(A) = 0.37, find P ( not A ) Not A is also written as A'. We use the formula below: P(A') = 1 - P(A) P(A') = 1 - 0.37 P(A') = 0.63

a card selected from a deck of 52 cards what is the probability it is a black card or face card Facts: Half the cards in the deck are black (26/52) There are 12 face cards (K, Q, J) in a deck (12/52) Black and Face = 6/52 (Duplicates from above) P(Black or Face) = P(Black) + P(Face) - P(Black...

The chance of a soldier being an enemy spy is .0005. Out of 10,000 soldiers, how many of them are expected to be spies? Expected Spies = Probability of being a spy * Total Soldiers Expected Spies = 0.0005 * 10000 Expected Spies = 5

A box contains 5 black and 2 white balls. 2 balls are drawn without replacement. Find the probability of drawing 2 black balls. First draw probability of black is: Total Balls in box = Black balls + white balls Total Balls in Box = 5 + 2 Total Balls in Box = 7 P(Black) = Black Balls / Total...

Refer to a bag containing 13 red balls numbered 1-13 and 5 green balls numbered 14-18. You choose a ball at random. a. What is the probability that you choose a red or even numbered ball? b. What is the probability you choose a green ball or a ball numbered less than 5? a. The phrase or in...

A dice has six sides. The dice is rolled once. What is the probability that a six will be the result. P(6) = 1/6