What effect does subtraction have on terms in parentheses when you remove parentheses

Mathematics

1 answer:

amm18123 years ago

4 0

nswer:

Terms in parentheses are handled first. If the parentheses are removed, it will change the answer.

Step-by-step explanation:

example:

(4-3)2 reduced would be 2 (because the 4-3 would be handled first.)

4-3x2 reduced would be -2 (because the multiplication would be handled first.)

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A game consists of tossing a coin 3 times and noting its outcome each time. Hanif wins if he gets three heads or three tails, an

Zolol [24]

Answer:

There is 75% probability that Hanif will lose the game.

Step-by-step explanation:

Number of outcomes on tossing a coin = 2

Whenever an experiment is repeated "r" times, the total number of outcomes is calculated as:

$n^{r}$

Here n is the number of outcomes of one event. Since for tossing of a coin, the number of outcomes for each event is 2, so n = 2

The experiment is performed 3 times, so r = 3

Therefore, the total number of outcomes for tossing a coin 3 times is:

$2^3 = 8$ outcomes

Hanif wins if either of these two condition is met:

1) He gets all heads. There is only 1 outcome in 8 outcomes in which we can get all heads

2) He gets all tails. There is only 1 outcome in 8 outcomes in which we can get all tails.

Therefore, there are 2 possible outcomes for which Hanif will be the winner. On all other outcomes he will loose. Since total number of outcomes is 8, the number of outcomes for which Hanif will loose = 8 - 2 = 6 outcomes

We have to find the probability that Hanif will loose the game. Since, probability is defined as the ratio of desired outcomes to total number of outcomes, the probability that Hanif will loose the game will be:

$\frac{6}{8} =\frac{3}{4} =0.75=75\%$