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4 years ago

A fair coin is tossed 3 times. What

Mathematics

2 answers:

timofeeve [1]4 years ago

8 0

Answer: $\dfrac{2}{3}$

Step-by-step explanation:

Given that there are exactly two heads out of three coins, we have the following possibilities:

H H T

H T H

T H H

Two of the three possible outcomes have two heads in a row.

$\dfrac{\text{Number of "two heads in a row"}}{\text{Number of "exactly two heads"}}=\large\boxed{\dfrac{2}{3}}$

Allisa [31]4 years ago

5 0

Answer:

The ratio of successful events A = 3 to total number of possible combinations of sample space S = 8 is the probability of 2 heads in 3 coin tosses.

Step-by-step explanation:

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3 years ago

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3 years ago

What is 1 1/2 · x = 2 3/4

Solnce55 [7]

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4 years ago

Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!

Andrei [34K]

Answer:

$P(\text{Male}|\text{Divorced})\approx0.092$

Step-by-step explanation:

$\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092$

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is $\frac{9.6}{104.5}\approx0.092$ , the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

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2 years ago