AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a cup are the numbers 1-20. Find the theoretical probability of picking a number divisible by 5.
A
4/20
B
1/5
C
5/20
D
1/4
Explanation: 

Detailed explanation-1: -Expert-Verified Answer Total numbers which are divisible by 5 = 5, 10, 15 and 20. So there are 4 numbers. = 20%. Hence, 20% of numbers from 1 to 20 are divisible by 5.

Detailed explanation-2: -Probability of an event =Number of favourable casesNumber of total cases, We get, probability of choosing a prime number from 1 to 20 =820=25. Therefore, we get the probability of choosing a prime number from 1 to 20 as 25or 0.4.

Detailed explanation-3: -Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5.

Detailed explanation-4: -Between 1 and 20, there are 6 multiples of 3-3, 6, 9, 12, 15 and 18. That is, 70%.

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