A die is rolled once.Find the probability of obtaining a 5 & 6 & an odd number ?
if you want the prob of a 5 OR a 6 OR an odd, then it would be
4/6 = 2/3
If you want the prob of a 5 AND a 6 AND an odd, then it would be 0
A single fair die is tossed. Find the probability of rolling a number greater than 5?
To find the probability of obtaining a 5, a 6, and an odd number when rolling a die, we need to consider the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes
To obtain a 5, there is only 1 favorable outcome since there is only one side of the die with a 5.
Similarly, to obtain a 6, there is also only 1 favorable outcome.
To obtain an odd number, there are 3 favorable outcomes since the numbers 1, 3, and 5 are odd.
Step 2: Determine the total number of possible outcomes
The total number of possible outcomes when rolling a die is 6 since a die has 6 sides and each side represents a possible outcome.
Step 3: Calculate the probability
The probability is calculated by dividing the number of favorable outcomes (1 for 5, 1 for 6, and 3 for odd) by the total number of possible outcomes (6).
Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
= (1 + 1 + 3) / 6
= 5 / 6
Therefore, the probability of obtaining a 5, a 6, and an odd number when rolling a die is 5/6.
To find the probability of obtaining a 5, 6, and an odd number on a single roll of a die, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes:
To obtain a 5, we have a single favorable outcome: rolling a 5.
To obtain a 6, we have another single favorable outcome: rolling a 6.
To obtain an odd number, we have three favorable outcomes: rolling a 1, 3, or 5.
Since we need all three conditions to be met, we multiply the number of favorable outcomes together: 1 * 1 * 3 = 3
Step 2: Determine the total number of possible outcomes:
On a standard die, there are six possible outcomes, represented by the numbers 1 through 6.
Step 3: Calculate the probability:
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 6
Probability = 1/2
Therefore, the probability of rolling a 5, a 6, and an odd number on a single roll of a die is 1/2 or 50%.