PROBABILITY OF SIMPLE EVENTS GRADE 10 MATHEMATICS Q 3

hello mark awamat in this video lesson we'll discuss about probability of simple event so how to compute the probability of simple event so the probability of an event is ratio that compares the number of favorable outcomes to the number of possible outcomes so by the way video lesson about the basic concept of probability so simple event that is when an event involves single element of the sample space that is the number of events divide the number of sample space concepts sample space at no event okay so again you event net end that is the number of outcomes of the event so let us present that and using this one and then that is the number of all possible outcomes okay first let me discuss the properties of probability of an event okay probability is number between zero and one so negative so impossible the closer the probability of an event to one the more likely that event to happen and the closer the probability of an event to zero the less likely to happen another the probability of an event that cannot be happened is zero and the probability of an event that must have happened is one and if the probability of an event is then the probability of the complement of is one minus so that and need to know an example probability of the complement okay for example number one coin is those find the probability of getting head okay so coin is thought find the probability of getting ahead so uno una and gagging it not in ibiza and marantai in dalawang sample space and then next nothing is event okay probability of getting ahead so head so ilan young and okay so using the formula you know gagamitin so that is the number of event which is the number of head all over the number of sample space so marine time is sung number of event that is one at the lawyer sample space net and so therefore the answer is one half okay next what is the probability of rolling prime number on number cube so anonymous sample space net one two three four five and six and then so the number of sample space and ameriti is six and then you event now number and that is two three and five so big sub melon tying that long event now computed negative probability of rolling prime number so the number of event is three and the number of sample space is six so that is three over six or one half so it's terminator okay so hope so the lower example okay consider standard deck of guard has four suits heart clouds spades diamonds so it's suit has 13 cards ace 2 3 4 5 6 7 8 9 and 10 and then in that long face snap cards not then jack queen and king so in total that is 52. so say bang libro ace class can consider as one okay so depending on company so what is the problem probability so using the 52 deck of cards playing card is drawn at random from standard deck of 52 playing cards so find the probability of first drawing diamond so lanyan diamond not in detail young clubs and 13 young speeds so ebik's abn 13 young sample space nathan so in the hat young card in sample space but nothing is 52 in total card and then you event nathan is okay diamond 13. so therefore the number of event is 13 out of 52 so pedi panatin kuning in lowest termito that is one-fourth okay next how about black card okay so black card so de la vancoulai langnamanian black and red so so that is 26 over 52 the answer is so ibiza being the number of event is four so 4 over 52 or that is 1 over 13. another example three coins are toss what is the probability of getting first is straight united what is the probability of getting three heads so ilan badito sample space nathan and meron three heads okay so elanian sample space nathan eight so that is one over eight okay so sample space net and you'll again denominator now next two heads okay you made the one heads now so one two three okay so that is three so three over eight next head okay one head so one okay ascent okay so one two okay one two three okay so it's on headline deba one two and three next at least two okay sodium is word now at least so that making familiar gives word at least so big sabino at least that is greater than or equal so eb sabihin at two or more okay two or more tales so belonging that indeed so for the hat so therefore four over eight or that is equal to one half okay next is at most pakistan less than or equal five six seven so the answer is seven over eight and then walang tale no tale so is so that is one over eight okay another example bug contains seven white balls in 11 orange balls so if ball is drawn at random from the bag find the probability that the ball is green so meron bang binigay nakulena green song binigaylang is seven white balls and eleven orange balls so walang green so therefore capac zero okay so how about the probability that the ball is white so hong white tian meredith seven white balls on gaga win yo saying sample space net in detail in total balls so that is seven plus eleven eighteen since pinapaku along your probability that the ball is white so that is seven that's seven white balls so seven over eighteen okay next how about the probability that the ball is not white so on hindi white it be subbing so illegitimate and 11 so 11 out of 18. if 12 red balls are added to the bag and ball is drawn from the bag so illa nangayun lahatnam balls so 18 plus 12 30. so in sample space nothing is turkey now so you know making denominator not so find the probability that the ball is red so congrat that is 12 so 12 and unknowled so probability that the ball is red so 12 beyond so 12 over 30 of cuny nothing white and orange so 7 plus 11 18. so that is 18 over 30 the answer is term that then three fifth and then orange then s11 so that is 11 over 30 okay next find the probability of the complement of each event una rolling die and getting getting four that is one six young complement probability of the complement class ibab was not in it okay so again complement so debug in probability okay bin again event since getting four that is one six since bina pakuha young complement so in my minus nothing it was one minus nothing in the coherent probability prime one so one minus one six that is five over six it picks up the end the probability of the complement of rolling die and then getting four is five over six next selecting letter of the alphabet and getting vowel so illam bayong vowels alphabet letter alphabet and 26 so vowel getting bubble that is 5 over 26 since complementing satan sigma minus nothing from 1 so 1 minus 5 over 26 the answer is 21 over 26 okay letter selecting month and getting month that begins with so ilen bayong anu nathan in english also ilan you'll complement so that is one minus one fourth the answer is three-fourth thank you for watching this video hope you learned something don't forget to like subscribe and hit the bell button but updated ko for more video tutorial this is your guide in learning your mod lesson your walmart channel you