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Mathematics
19.09.2020 20:05
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Coin 1 and coin 2 are biased coins. the probability that tossing coin 1 results

Coin 1 and coin 2 are biased coins. the probability that tossing coin 1 results in head is 0.3. the probability that tossing coin 2 results in head is 0.9. coin 1 and coin 2 are tossed

(i) what is the probability that the result of coin 1 is tail and the result of coin 2 is head?
(ii) what is the probability that at least one of the results is head?
(iii) what is the probability that exactly one head appears?
(iv) what is the probability that the result of coin 1 is head given that head appears exactly once?
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mariamsakayanthebest
mariamsakayanthebest
5,0(66 marks)

(2.6, -2.7)

Step-by-step Explanation:

Let X represent the point which is 7/10 of the way from A to B.

AX to XB = 7:10 = AX/XB = 7/10.

Formula for internal division to find the coordinates is:

x = \frac{mx_2 + nx_1}{m + n}

y = \frac{my_2 + ny_1}{m + n}

Where,

A(-4, -8) = (x_1, y_1)

B(12, 5) = (x_2, y_2)

m = 7, n = 10

Substitute the values above into the stated formula to find x and y coordinates as follows:

x = \frac{mx_2 + nx_1}{m + n}

x = \frac{7(12) + 10(-4)}{7 + 10}

x = \frac{84 - 40}{17}

x = \frac{44}{17}

x = 2.6

y = \frac{my_2 + ny_1}{m + n}

y = \frac{7(5) + 10(-8)}{7 + 10}

y = \frac{35 - 80}{17}

y = \frac{-45}{17}

y = -2.7

The coordinates of the point 7/10 of the way from A to B are (2.6, -2.7)

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