Laura and Philip each fire one shot at a target. Laura has probability 0.4 of hitting the target, and Philip has probability 0.1. The shots are independent. (i). Find the probability that the target is hit.(3 points) (ii). Find the probability that the target is hit by exactly one shot.(3 points) (iii). Given that the target was hit by exactly one shot, find the probability that Philip hit the target.(4 points)

(i) 0.46, (ii)0.42, and (iii)0.143

Step-by-step explanation:

Let be the probability of hitting the target and be the probability of missing the target by Laura.

Given that

As Laura either hit or miss the target, so .

Again, let be the probability of hitting the target and be the probability of missing the target by Philip.

Here,

Similarly,

(i)The probability that the target is hit means that the target is not missed by both, either of one or both hit the target.

=1-(probability of missing the target by both)

=1- [from equation (2) and (4) ]

=

=

=0.46

(ii) The probability that the target is hit by exactly one shot means either of one hit the target.

=Hit by Laura and missed by Philip or hit by Philip and missed by Laura

[from equations (1),(4) and (3),(2)]

=0.42

(iii)Given that the target was hit by exactly one shot, so, the given probability is 0.42 [from (ii) part]

No, the probability that the target was hit by Philip = probability of hitting the target by Philip and missing the target by Laura

[from equations (3) and (2)]

=0.06

So, the probability of hitting the target by Philip

(approx)

answer: there are 453.592 grams in a pound.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!