A fair coin tossed 5times compute the probability of tossing 5 tails in a row
The probability of getting tails on one toss of a fair coin is 1/2.
Since each toss is independent of the others, the probability of getting tails 5 times in a row is:
(1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32
Therefore, the probability of tossing 5 tails in a row is 1/32 or approximately 0.03125.
A jar contains 8 red marbles numbered 1-8 and 6 blue marbles numbered 1-6. Marble drawn at random from the jar. Find the probability marble is red
There are a total of 8+6=14 marbles in the jar.
The probability of selecting a red marble is the number of red marbles divided by the total number of marbles:
P(red) = 8/14 = 4/7
Therefore, the probability of drawing a red marble from the jar is 4/7 or approximately 0.57.
To compute the probability of tossing 5 tails in a row when flipping a fair coin, we need to consider the total number of possible outcomes and the number of desired outcomes.
First, let's determine the total number of possible outcomes when flipping a coin 5 times. Since each coin flip has 2 possible outcomes (head or tail), the total number of outcomes for 5 coin flips is 2^5 = 32.
Next, we need to determine the number of desired outcomes, which is the number of times we get tails in a row. In this case, we want a sequence of 5 tails in a row, so there is only 1 desired outcome.
Finally, we can calculate the probability by dividing the number of desired outcomes by the total number of possible outcomes:
Probability = Number of desired outcomes / Total number of possible outcomes
Probability = 1 / 32
Therefore, the probability of flipping 5 tails in a row when tossing a fair coin is 1/32, which is approximately 0.03125 or 3.125%.