And OR Conditions in Probability
And OR Conditions in Probability
And Or Conditions in Probability:
In general language And means that if both the conditions is true only then the result is true, whereas in the case of Or if any one of the condition is true then the result is true. In probability, And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.
For example while drawing a ball from a bag of balls having 1 to 50 numbered balls
The favorable cases for getting a ball having a number divisible by 3 and 5. The favorable cases will be balls having number 15, 30, and 45 because only these number satisfy the conditions that number divisible by 3 and 5.
Whereas The favorable cases for getting a ball having a number divisible by 3 or 5. The favorable cases will be
Balls having number 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48 = 16
As all these numbers are divisible by 3 and
Balls having number 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 =10
As all these numbers are divisible by 5
but we have to exclude the cases in which the number are divisible by both 3 and 5 that is 15, 30 and 45 = 3
As these numbers have appeared in the list of both cases
So the total number of favorable cases are = Favorable cases for numbers divisible by 3 + Favorable cases for numbers divisible by 5 - Favorable cases for numbers divisible by 3 and 5
= 16 + 10 - 3
= 26 - 3 = 23
Shubhi drawn a card from a well - shuffled pack of cards . the probability that she gets either a face card or an ace , is | |||
| Right Option : C | |||
| View Explanation | |||
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5? | |||
| Right Option : D | |||
| View Explanation | |||
In a pack of card , numbered 1 to 150, how many numbers are divisible by both 10 or 7 ? | |||
| Right Option : A | |||
| View Explanation | |||
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