AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A dice (numbered 1-6) is rolled 20 times. How many times will a number less than 4 show?
A
5
B
10
C
15
D
Never
Explanation: 

Detailed explanation-1: -Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. Therefore, the probability of rolling an odd number or a number less than 6 is 5/12.

Detailed explanation-2: -If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers-4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.

Detailed explanation-3: -The probability of getting a 4 when a die is rolled is 1/6.

Detailed explanation-4: -Ok, let’s translate this into a simple question about rolling a die: How many times would you expect to roll a die to see a 6? The probability of getting a six in a single throw is 1/6. Therefore, on average, you’ll have about six throws for every appearance of a 6.

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