AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
You flip a nickel three times.Find the probability that all flips will land on tails.
A
1/2
B
1/4
C
1/6
D
1/8
Explanation: 

Detailed explanation-1: -Answer: The probability of flipping a coin three times and getting 3 tails is 1/8. Let’s solve this step by step.

Detailed explanation-2: -Solution: When 3 coins are tossed, the possible outcomes are HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. (i) Let E1 denotes the event of getting all tails. Hence the required probability is ⅛.

Detailed explanation-3: -What is the probability that with three flips of a coin all three flips will be the same? Solution: Let’s look into all the possible outcomes on three flips of a coin. Therefore, the probability that with three flips of a coin all three flips will be the same is 1/4.

Detailed explanation-4: -As you can see from the picture, the probability of getting one head and one tail on the toss of two coins is 0.5.

Detailed explanation-5: -There are eight possible outcomes of tossing the coin three times, if we keep track of what happened on each toss separately. In three of those eight outcomes (the outcomes labeled 2, 3, and 5), there are exactly two heads. This way of counting becomes overwhelming very quickly as the number of tosses increases.

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