An unbiased dice is thrown. What is the probability of getting : (1) a...
Total numbers = 6
Even numbers are = 2, 4 , 6
Multiple of 3 are = 6
(i) Probability of getting an even number or a multiple of 3 = 3 / 6 = 1 / 2
Even no. and multiple of 3 is only 1 number i.e, 6
(ii) Probability of an even no. and a multiple of 3 = 1 / 6
An unbiased dice is thrown. What is the probability of getting : (1) a...
Probability of getting an even number or a multiple of 3:
• The even numbers on a dice are 2, 4, and 6. The multiples of 3 are 3 and 6.
• The total number of outcomes when a dice is thrown is 6 (numbers 1 to 6).
• To find the probability of getting an even number or a multiple of 3, we need to count the favorable outcomes.
• The favorable outcomes are 2, 3, 4, and 6.
• So, the probability = Number of favorable outcomes / Total number of outcomes = 4 / 6 = 2 / 3.
Probability of getting an even number and a multiple of 3:
• The only number that is both even and a multiple of 3 on a dice is 6.
• So, the favorable outcome is only 6.
• Therefore, the probability of getting an even number and a multiple of 3 = 1 / 6.
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