AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
How many outcomes are there with tossing a coin and rolling a dice?
A
2
B
6
C
12
D
24
Explanation: 

Detailed explanation-1: -When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

Detailed explanation-2: -[1&1 or 1&2 or 1&3 or 1&4 or 1&5 or 1&6 or 2&1 or 2&2 … counting down to 6&5 or 6&6] which gives 36 possible outcomes after 2 tosses. So 12 tosses will give 6¹² possible outcomes. (2176782336 outcomes). How many times do you have to roll a dice to get a 6?

Detailed explanation-3: -The two experiments together tossing a coin then rolling a dice have 2 x 6 = 12 possible outcomes.

Detailed explanation-4: -The probability of both outcomes is equal i.e. 50% or 1/2. So, the probability of an event is Favorable outcomes/Total number of outcomes. It is denoted with the parenthesis i.e. P(Event). What is Sample Space?

There is 1 question to complete.