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Probability is a measure of the possibility of how likely an event will occur. It is a value between 0 and 1 which shows us how favorable is the occurrence of a condition. If the probability of an event is nearer to 0, let’s say 0.2 or 0.13 then the possibility of its occurrence is less. Whereas if the probability of an event is nearer to 1, lets say 0.92 or 0.88 then it is much favourable to occur. Probability of an event The probability of an event can be defined as a number of favorable outcomes upon the total number of outcomes.
Some terms related to probability
When two dice are rolled what is the probability of getting same number on both?
Sample QuestionsQuestion 1: Find the probability of getting odd number on first dice and even number on other dice when two dice are thrown simultaneously. Answer:
Question 2: If two dice are thrown together then find the probability of getting 1 or 2 on either of the dice. Answer:
Question 3: In an event 2 dice are thrown simultaneously. Find the probability of getting prime number on first dice. Answer:
Question 4: Three coins are tossed together find the probability of getting at least one head and one tail. Answer:
Question 5: Find the probability of getting at least two tails when a coin is tossed three times. Answer:
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Solution: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by : Let ‘x’ be the number on the first dice ‘Y’ be the number on second dice First dice showing odd number = {1,3,5} Second dice also has odd number = {1,3,5} The probability that the first dice shows an odd number = 3/6. The probability that the second dice shows an odd number = 3/6. The possible results are (1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5). The probability that both dice show an odd number is (3/6) × (3/6) = 9/36 = 1/4 Therefore, the probability of getting an odd number in both dice is 1/4. Summary: If you roll two fair six-sided dice, the probability that both dice show an odd number is 1/4. |