0
A pair of fair dice is tossed and the output is the maximum number that comes on top what is the probability that the output is even?
when two dice are tossed , 6*6 = 36 outcomes are possible
a max output of 4 as defined can occur through
1-4 , 2-4 , 3-4 , 4-4 , 4-3 , 4-2 , & 4-1 i.e. 7 ways
so its probability is 7/36
the problem thus reduces to a binomial distribution
n = number of "trials" = 30
p = probability of "success" on a single trial = 7/36
q = 1 - p = probability of "failure" on a single trial = 29/36
the formula for k successes in n trials is given by
P[k] = nCk*p^k*q^(n-k)
thus reqd. probability = P[16] + P[17]
= 30C16*[7/36]^16*[29/36]^14 + 30C17*[7/36]^17*[29/36]^13
= 3.527/10^5
What else can I help you with?
If a coin is tossed then what is the probability that the number is 5?
Coins do not have numbers, there is only the probability of heads or tails.
What is the probability that the die tossed will land on a number that is smaller than 5?
The probability that the die tossed will land on a number that is smaller than 5 is 4/6 or 2/3. Smaller than 5 is 1 - 4 and 6 is the sample space.
If 4 coins are tossed what is the probability of 4 tails?
The probability is 1/16.
What is the probability a number cube with numbers from 1-6 is tossed and an even number greater than 4 lands faceup?
1/6
What is the probability that if 2 fair value cubes are numbered 1 - 6 are tossed at the same time would show the same number?
The probability is 6/36 = 1/6.
If a coin is tossed then what is the probability that the number is 5?
Coins do not have numbers, there is only the probability of heads or tails.
What is the probability that the die tossed will land on a number that is smaller than 5?
The probability that the die tossed will land on a number that is smaller than 5 is 4/6 or 2/3. Smaller than 5 is 1 - 4 and 6 is the sample space.
Three dice are tossed what is the probability that the same number appears on exactly two of the three dice?
The probability is 90/216 = 5/12
What is probability of obtaining a number different from 11 when a single fair die is tossed?
A single fair die has the numbers 1 to 6, so when a single fair die is tossed the probability of obtaining a number different than 11 is: P(x diff than11) = 1.
If 4 coins are tossed what is the probability of 4 tails?
The probability is 1/16.
What is the probability a number cube with numbers from 1-6 is tossed and an even number greater than 4 lands faceup?
1/6
What is the probability that if 2 fair value cubes are numbered 1 - 6 are tossed at the same time would show the same number?
The probability is 6/36 = 1/6.
Probability of gettingm 2 tails when 2 coins are tossed?
1/4 if they are tossed only once.
Probability of getting both head and tail simultaneously when a coin is tossed?
The probability is 50-50.
If you tossed a coin 1000 times what is the probability the 785th toss is heads?
The number of times a coin is tossed does not alter the probability of getting heads, which is 50% in every case, as long as the coin has not been rigged (i.e., a double-headed coin, a weighted coin) to alter the result.
If a coin is tossed 5 times what is the probability of getting tails no more then 2 times?
The probability is 0.5The probability is 0.5The probability is 0.5The probability is 0.5
A dice is tossed thrice find the probability of getting an odd number at least once?
To find the probability of getting an odd number at least once when a die is tossed thrice, we can use the complementary approach. The probability of not getting an odd number (i.e., getting an even number) in a single toss is ( \frac{3}{6} = \frac{1}{2} ). Therefore, the probability of getting an even number in all three tosses is ( \left(\frac{1}{2}\right)^3 = \frac{1}{8} ). Thus, the probability of getting an odd number at least once is ( 1 - \frac{1}{8} = \frac{7}{8} ).
